Threefolds with big and nef anticanonical bundles II

Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the M...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Jahnke, Priska [verfasserIn] Peternell, Thomas Radloff, Ivo

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Fano varieties Threefolds Rational and birational maps

Anmerkung:	© © Versita Warsaw and Springer-Verlag Wien 2011

Übergeordnetes Werk:	Enthalten in: Central European journal of mathematics - Berlin : Springer, 2003, 9(2011), 3 vom: 10. März, Seite 449-488
Übergeordnetes Werk:	volume:9 ; year:2011 ; number:3 ; day:10 ; month:03 ; pages:449-488

Links:	Volltext

DOI / URN:	10.2478/s11533-011-0023-1

Katalog-ID:	SPR020638140

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allfields	10.2478/s11533-011-0023-1 doi (DE-627)SPR020638140 (SPR)s11533-011-0023-1-e DE-627 ger DE-627 rakwb eng Jahnke, Priska verfasserin aut Threefolds with big and nef anticanonical bundles II 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. Fano varieties (dpeaa)DE-He213 Threefolds (dpeaa)DE-He213 Rational and birational maps (dpeaa)DE-He213 Peternell, Thomas aut Radloff, Ivo aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 3 vom: 10. März, Seite 449-488 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:3 day:10 month:03 pages:449-488 https://dx.doi.org/10.2478/s11533-011-0023-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 3 10 03 449-488
spelling	10.2478/s11533-011-0023-1 doi (DE-627)SPR020638140 (SPR)s11533-011-0023-1-e DE-627 ger DE-627 rakwb eng Jahnke, Priska verfasserin aut Threefolds with big and nef anticanonical bundles II 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. Fano varieties (dpeaa)DE-He213 Threefolds (dpeaa)DE-He213 Rational and birational maps (dpeaa)DE-He213 Peternell, Thomas aut Radloff, Ivo aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 3 vom: 10. März, Seite 449-488 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:3 day:10 month:03 pages:449-488 https://dx.doi.org/10.2478/s11533-011-0023-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 3 10 03 449-488
allfields_unstemmed	10.2478/s11533-011-0023-1 doi (DE-627)SPR020638140 (SPR)s11533-011-0023-1-e DE-627 ger DE-627 rakwb eng Jahnke, Priska verfasserin aut Threefolds with big and nef anticanonical bundles II 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. Fano varieties (dpeaa)DE-He213 Threefolds (dpeaa)DE-He213 Rational and birational maps (dpeaa)DE-He213 Peternell, Thomas aut Radloff, Ivo aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 3 vom: 10. März, Seite 449-488 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:3 day:10 month:03 pages:449-488 https://dx.doi.org/10.2478/s11533-011-0023-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 3 10 03 449-488
allfieldsGer	10.2478/s11533-011-0023-1 doi (DE-627)SPR020638140 (SPR)s11533-011-0023-1-e DE-627 ger DE-627 rakwb eng Jahnke, Priska verfasserin aut Threefolds with big and nef anticanonical bundles II 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. Fano varieties (dpeaa)DE-He213 Threefolds (dpeaa)DE-He213 Rational and birational maps (dpeaa)DE-He213 Peternell, Thomas aut Radloff, Ivo aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 3 vom: 10. März, Seite 449-488 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:3 day:10 month:03 pages:449-488 https://dx.doi.org/10.2478/s11533-011-0023-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 3 10 03 449-488
allfieldsSound	10.2478/s11533-011-0023-1 doi (DE-627)SPR020638140 (SPR)s11533-011-0023-1-e DE-627 ger DE-627 rakwb eng Jahnke, Priska verfasserin aut Threefolds with big and nef anticanonical bundles II 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. Fano varieties (dpeaa)DE-He213 Threefolds (dpeaa)DE-He213 Rational and birational maps (dpeaa)DE-He213 Peternell, Thomas aut Radloff, Ivo aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 3 vom: 10. März, Seite 449-488 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:3 day:10 month:03 pages:449-488 https://dx.doi.org/10.2478/s11533-011-0023-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 3 10 03 449-488
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author	Jahnke, Priska
spellingShingle	Jahnke, Priska misc Fano varieties misc Threefolds misc Rational and birational maps Threefolds with big and nef anticanonical bundles II
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topic_title	Threefolds with big and nef anticanonical bundles II Fano varieties (dpeaa)DE-He213 Threefolds (dpeaa)DE-He213 Rational and birational maps (dpeaa)DE-He213
topic	misc Fano varieties misc Threefolds misc Rational and birational maps
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title	Threefolds with big and nef anticanonical bundles II
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title_full	Threefolds with big and nef anticanonical bundles II
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title_sort	threefolds with big and nef anticanonical bundles ii
title_auth	Threefolds with big and nef anticanonical bundles II
abstract	Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. © © Versita Warsaw and Springer-Verlag Wien 2011
abstractGer	Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. © © Versita Warsaw and Springer-Verlag Wien 2011
abstract_unstemmed	Abstract In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X+ are not both birational. © © Versita Warsaw and Springer-Verlag Wien 2011
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title_short	Threefolds with big and nef anticanonical bundles II
url	https://dx.doi.org/10.2478/s11533-011-0023-1
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Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −KX big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. 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Threefolds with big and nef anticanonical bundles II

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