Rationally trivial hermitian spaces are locally trivial

Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A.

Gespeichert in:

Autor*in:	Ojanguren, Manuel [verfasserIn] Panin, Ivan

Format:	Artikel
Sprache:	Englisch

Erschienen:	2001

Schlagwörter:	Local Ring Regular Local Ring Hermitian Space

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2001

Übergeordnetes Werk:	Enthalten in: Mathematische Zeitschrift - Springer-Verlag, 1918, 237(2001), 1 vom: Mai, Seite 181-198
Übergeordnetes Werk:	volume:237 ; year:2001 ; number:1 ; month:05 ; pages:181-198

Links:	Volltext

DOI / URN:	10.1007/PL00004859

Katalog-ID:	OLC2039720146

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allfields	10.1007/PL00004859 doi (DE-627)OLC2039720146 (DE-He213)PL00004859-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Ojanguren, Manuel verfasserin aut Rationally trivial hermitian spaces are locally trivial 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. Local Ring Regular Local Ring Hermitian Space Panin, Ivan aut Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 237(2001), 1 vom: Mai, Seite 181-198 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:237 year:2001 number:1 month:05 pages:181-198 https://doi.org/10.1007/PL00004859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 AR 237 2001 1 05 181-198
spelling	10.1007/PL00004859 doi (DE-627)OLC2039720146 (DE-He213)PL00004859-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Ojanguren, Manuel verfasserin aut Rationally trivial hermitian spaces are locally trivial 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. Local Ring Regular Local Ring Hermitian Space Panin, Ivan aut Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 237(2001), 1 vom: Mai, Seite 181-198 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:237 year:2001 number:1 month:05 pages:181-198 https://doi.org/10.1007/PL00004859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 AR 237 2001 1 05 181-198
allfields_unstemmed	10.1007/PL00004859 doi (DE-627)OLC2039720146 (DE-He213)PL00004859-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Ojanguren, Manuel verfasserin aut Rationally trivial hermitian spaces are locally trivial 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. Local Ring Regular Local Ring Hermitian Space Panin, Ivan aut Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 237(2001), 1 vom: Mai, Seite 181-198 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:237 year:2001 number:1 month:05 pages:181-198 https://doi.org/10.1007/PL00004859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 AR 237 2001 1 05 181-198
allfieldsGer	10.1007/PL00004859 doi (DE-627)OLC2039720146 (DE-He213)PL00004859-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Ojanguren, Manuel verfasserin aut Rationally trivial hermitian spaces are locally trivial 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. Local Ring Regular Local Ring Hermitian Space Panin, Ivan aut Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 237(2001), 1 vom: Mai, Seite 181-198 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:237 year:2001 number:1 month:05 pages:181-198 https://doi.org/10.1007/PL00004859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 AR 237 2001 1 05 181-198
allfieldsSound	10.1007/PL00004859 doi (DE-627)OLC2039720146 (DE-He213)PL00004859-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Ojanguren, Manuel verfasserin aut Rationally trivial hermitian spaces are locally trivial 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. Local Ring Regular Local Ring Hermitian Space Panin, Ivan aut Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 237(2001), 1 vom: Mai, Seite 181-198 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:237 year:2001 number:1 month:05 pages:181-198 https://doi.org/10.1007/PL00004859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 AR 237 2001 1 05 181-198
language	English
source	Enthalten in Mathematische Zeitschrift 237(2001), 1 vom: Mai, Seite 181-198 volume:237 year:2001 number:1 month:05 pages:181-198
sourceStr	Enthalten in Mathematische Zeitschrift 237(2001), 1 vom: Mai, Seite 181-198 volume:237 year:2001 number:1 month:05 pages:181-198
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Local Ring Regular Local Ring Hermitian Space
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author	Ojanguren, Manuel
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topic_title	510 VZ 17,1 ssgn Rationally trivial hermitian spaces are locally trivial Local Ring Regular Local Ring Hermitian Space
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title	Rationally trivial hermitian spaces are locally trivial
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title_full	Rationally trivial hermitian spaces are locally trivial
author_sort	Ojanguren, Manuel
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author-letter	Ojanguren, Manuel
doi_str_mv	10.1007/PL00004859
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title_sort	rationally trivial hermitian spaces are locally trivial
title_auth	Rationally trivial hermitian spaces are locally trivial
abstract	Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. © Springer-Verlag Berlin Heidelberg 2001
abstractGer	Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. © Springer-Verlag Berlin Heidelberg 2001
abstract_unstemmed	Abstract. Let R be a regular local ring, K its field of fractions and A an Azumaya algebra with involution over R. Let h be an $\epsilon$-hermitian space over A. We show that if $\bold{h}\otimes_R K$ is hyperbolic over $A\otimes_R K$, then h is hyperbolic over A. © Springer-Verlag Berlin Heidelberg 2001
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title_short	Rationally trivial hermitian spaces are locally trivial
url	https://doi.org/10.1007/PL00004859
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up_date	2024-07-03T23:47:26.736Z
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