Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)

Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP w...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Lazić, Vladimir [verfasserIn] Tsakanikas, Nikolaos

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Minimal Model Program Generalised pairs Termination of flips Minimal models Weak Zariski decompositions Mori fibre spaces

Anmerkung:	© The Author(s) 2022

Übergeordnetes Werk:	Enthalten in: Selecta mathematica - Basel [u.a.] : Birkhäuser, 1995, 28(2022), 5 vom: 10. Okt.
Übergeordnetes Werk:	volume:28 ; year:2022 ; number:5 ; day:10 ; month:10

Links:	Volltext

DOI / URN:	10.1007/s00029-022-00798-8

Katalog-ID:	SPR048316563

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520			\|a Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces.
650		4	\|a Minimal Model Program \|7 (dpeaa)DE-He213
650		4	\|a Generalised pairs \|7 (dpeaa)DE-He213
650		4	\|a Termination of flips \|7 (dpeaa)DE-He213
650		4	\|a Minimal models \|7 (dpeaa)DE-He213
650		4	\|a Weak Zariski decompositions \|7 (dpeaa)DE-He213
650		4	\|a Mori fibre spaces \|7 (dpeaa)DE-He213
700	1		\|a Tsakanikas, Nikolaos \|4 aut
773	0	8	\|i Enthalten in \|t Selecta mathematica \|d Basel [u.a.] : Birkhäuser, 1995 \|g 28(2022), 5 vom: 10. Okt. \|w (DE-627)254638821 \|w (DE-600)1462998-7 \|x 1420-9020 \|7 nnns
773	1	8	\|g volume:28 \|g year:2022 \|g number:5 \|g day:10 \|g month:10
856	4	0	\|u https://dx.doi.org/10.1007/s00029-022-00798-8 \|z kostenfrei \|3 Volltext
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912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
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912			\|a GBV_ILN_4325
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912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
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publishDate	2022
allfields	10.1007/s00029-022-00798-8 doi (DE-627)SPR048316563 (SPR)s00029-022-00798-8-e DE-627 ger DE-627 rakwb eng Lazić, Vladimir verfasserin aut Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. Minimal Model Program (dpeaa)DE-He213 Generalised pairs (dpeaa)DE-He213 Termination of flips (dpeaa)DE-He213 Minimal models (dpeaa)DE-He213 Weak Zariski decompositions (dpeaa)DE-He213 Mori fibre spaces (dpeaa)DE-He213 Tsakanikas, Nikolaos aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 28(2022), 5 vom: 10. Okt. (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:28 year:2022 number:5 day:10 month:10 https://dx.doi.org/10.1007/s00029-022-00798-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2022 5 10 10
spelling	10.1007/s00029-022-00798-8 doi (DE-627)SPR048316563 (SPR)s00029-022-00798-8-e DE-627 ger DE-627 rakwb eng Lazić, Vladimir verfasserin aut Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. Minimal Model Program (dpeaa)DE-He213 Generalised pairs (dpeaa)DE-He213 Termination of flips (dpeaa)DE-He213 Minimal models (dpeaa)DE-He213 Weak Zariski decompositions (dpeaa)DE-He213 Mori fibre spaces (dpeaa)DE-He213 Tsakanikas, Nikolaos aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 28(2022), 5 vom: 10. Okt. (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:28 year:2022 number:5 day:10 month:10 https://dx.doi.org/10.1007/s00029-022-00798-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2022 5 10 10
allfields_unstemmed	10.1007/s00029-022-00798-8 doi (DE-627)SPR048316563 (SPR)s00029-022-00798-8-e DE-627 ger DE-627 rakwb eng Lazić, Vladimir verfasserin aut Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. Minimal Model Program (dpeaa)DE-He213 Generalised pairs (dpeaa)DE-He213 Termination of flips (dpeaa)DE-He213 Minimal models (dpeaa)DE-He213 Weak Zariski decompositions (dpeaa)DE-He213 Mori fibre spaces (dpeaa)DE-He213 Tsakanikas, Nikolaos aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 28(2022), 5 vom: 10. Okt. (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:28 year:2022 number:5 day:10 month:10 https://dx.doi.org/10.1007/s00029-022-00798-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2022 5 10 10
allfieldsGer	10.1007/s00029-022-00798-8 doi (DE-627)SPR048316563 (SPR)s00029-022-00798-8-e DE-627 ger DE-627 rakwb eng Lazić, Vladimir verfasserin aut Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. Minimal Model Program (dpeaa)DE-He213 Generalised pairs (dpeaa)DE-He213 Termination of flips (dpeaa)DE-He213 Minimal models (dpeaa)DE-He213 Weak Zariski decompositions (dpeaa)DE-He213 Mori fibre spaces (dpeaa)DE-He213 Tsakanikas, Nikolaos aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 28(2022), 5 vom: 10. Okt. (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:28 year:2022 number:5 day:10 month:10 https://dx.doi.org/10.1007/s00029-022-00798-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2022 5 10 10
allfieldsSound	10.1007/s00029-022-00798-8 doi (DE-627)SPR048316563 (SPR)s00029-022-00798-8-e DE-627 ger DE-627 rakwb eng Lazić, Vladimir verfasserin aut Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. Minimal Model Program (dpeaa)DE-He213 Generalised pairs (dpeaa)DE-He213 Termination of flips (dpeaa)DE-He213 Minimal models (dpeaa)DE-He213 Weak Zariski decompositions (dpeaa)DE-He213 Mori fibre spaces (dpeaa)DE-He213 Tsakanikas, Nikolaos aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 28(2022), 5 vom: 10. Okt. (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:28 year:2022 number:5 day:10 month:10 https://dx.doi.org/10.1007/s00029-022-00798-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2022 5 10 10
language	English
source	Enthalten in Selecta mathematica 28(2022), 5 vom: 10. Okt. volume:28 year:2022 number:5 day:10 month:10
sourceStr	Enthalten in Selecta mathematica 28(2022), 5 vom: 10. Okt. volume:28 year:2022 number:5 day:10 month:10
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Minimal Model Program Generalised pairs Termination of flips Minimal models Weak Zariski decompositions Mori fibre spaces
isfreeaccess_bool	true
container_title	Selecta mathematica
authorswithroles_txt_mv	Lazić, Vladimir @@aut@@ Tsakanikas, Nikolaos @@aut@@
publishDateDaySort_date	2022-10-10T00:00:00Z
hierarchy_top_id	254638821
id	SPR048316563
language_de	englisch
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author	Lazić, Vladimir
spellingShingle	Lazić, Vladimir misc Minimal Model Program misc Generalised pairs misc Termination of flips misc Minimal models misc Weak Zariski decompositions misc Mori fibre spaces Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)
authorStr	Lazić, Vladimir
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topic_title	Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) Minimal Model Program (dpeaa)DE-He213 Generalised pairs (dpeaa)DE-He213 Termination of flips (dpeaa)DE-He213 Minimal models (dpeaa)DE-He213 Weak Zariski decompositions (dpeaa)DE-He213 Mori fibre spaces (dpeaa)DE-He213
topic	misc Minimal Model Program misc Generalised pairs misc Termination of flips misc Minimal models misc Weak Zariski decompositions misc Mori fibre spaces
topic_unstemmed	misc Minimal Model Program misc Generalised pairs misc Termination of flips misc Minimal models misc Weak Zariski decompositions misc Mori fibre spaces
topic_browse	misc Minimal Model Program misc Generalised pairs misc Termination of flips misc Minimal models misc Weak Zariski decompositions misc Mori fibre spaces
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)
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title_full	Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)
author_sort	Lazić, Vladimir
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author_browse	Lazić, Vladimir Tsakanikas, Nikolaos
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author-letter	Lazić, Vladimir
doi_str_mv	10.1007/s00029-022-00798-8
title_sort	special mmp for log canonical generalised pairs (with an appendix joint with xiaowei jiang)
title_auth	Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)
abstract	Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. © The Author(s) 2022
abstractGer	Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. © The Author(s) 2022
abstract_unstemmed	Abstract We show that minimal models of %$\mathbb {Q}%$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces. © The Author(s) 2022
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title_short	Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)
url	https://dx.doi.org/10.1007/s00029-022-00798-8
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author2	Tsakanikas, Nikolaos
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doi_str	10.1007/s00029-022-00798-8
up_date	2024-07-03T18:25:43.137Z
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More generally, we prove that on a %$\mathbb {Q}%$-factorial NQC log canonical generalised pair %$ (X,B+M) %$ we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that %$ K_X+B+M%$ is not pseudoeffective. 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