Graded Hermitian forms and Springer's theorem

被引：16

作者：

Renard, J.-F. ^{[1
]}

Tignol, J.-P.

Wadsworth, A. R.

机构：

[1] Catholic Univ Louvain, Inst Matemat Pure & Appl, B-1348 Louvain, Belgium

[2] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2007年 / 18卷 / 01期

关键词：

D O I：

10.1016/S0019-3577(07)80010-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An analogue of Springer's theorem on the Witt group of quadratic forms over a complete discretely valued field is proved for Hermitian forms over division algebras over a Henselian field, including some cases where the residue characteristic is 2. Residue forms are defined by means of vector space valuations as Hermitian forms on the graded modules associated with the induced filtrations.

引用

页码：97 / 134

页数：38

共 50 条

[1] A Springer Theorem for Hermitian forms
Douglas W. Larmour
Mathematische Zeitschrift, 2006, 252 : 459 - 472
[2] A springer theorem for Hermitian forms
Larmour, DW
MATHEMATISCHE ZEITSCHRIFT, 2006, 252 (03) : 459 - 472
[3] Hermitian analogue of a theorem of Springer
Parimala, R
Sridharan, R
Suresh, V
JOURNAL OF ALGEBRA, 2001, 243 (02) : 780 - 789
[4] A hermitian analog of a quadratic form theorem of Springer
Stefan Gille
manuscripta mathematica, 2020, 163 : 125 - 163
[5] A hermitian analog of a quadratic form theorem of Springer
Gille, Stefan
MANUSCRIPTA MATHEMATICA, 2020, 163 (1-2) : 125 - 163
[6] Versions of Springer's theorem for quadratic forms in characteristic 2
Aravire, R
Jacob, B
AMERICAN JOURNAL OF MATHEMATICS, 1996, 118 (02) : 235 - 261
[7] Integral springer theorem for quaternionic forms
Arenas-Carmona, Luis
NAGOYA MATHEMATICAL JOURNAL, 2007, 187 : 157 - 174
[8] A Springer theorem for higher degree forms
Patrick J. Morandi
Mathematische Zeitschrift, 2007, 256 : 221 - 228
[9] A Springer theorem for higher degree forms
Morandi, Patrick J.
MATHEMATISCHE ZEITSCHRIFT, 2007, 256 (01) : 221 - 228
[10] Springer's theorem for tame quadratic forms over Henselian fields
Elomary, M. A.
Tignol, J. -P.
MATHEMATISCHE ZEITSCHRIFT, 2011, 269 (1-2) : 309 - 323

← 1 2 3 4 5 →