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

[21] Graded Lie algebra of Hermitian tangent valued forms
Janyska, J
Modugno, M
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 85 (05): : 687 - 697
[22] Graded rings of Hermitian modular forms of degree 2
Dern, T
Krieg, A
MANUSCRIPTA MATHEMATICA, 2003, 110 (02) : 251 - 272
[23] A STABILIZATION THEOREM FOR HERMITIAN FORMS AND APPLICATIONS TO HOLOMORPHIC MAPPINGS
Catlin, David W.
D'Angelo, John P.
MATHEMATICAL RESEARCH LETTERS, 1996, 3 (02) : 149 - 166
[24] Schanuel's theorem in the Hermitian Adele Bundles
Ange, Thomas
MANUSCRIPTA MATHEMATICA, 2014, 144 (3-4) : 565 - 608
[25] PFISTER'S THEOREM FAILS IN THE HERMITIAN CASE
D'Angelo, John P.
Lebl, Jiri
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (04) : 1151 - 1157
[26] Some generalizations of Springer's theorem in characteristic two
Nokhodkar, A-H
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (01)
[27] ABOUT A THEOREM OF SPRINGER
AYAD, M
HELLEGOUARCH, Y
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 309 (04): : 209 - 211
[28] The graded ring of Hermitian modular forms of degree 2 over Q (√-2)
Dern, T
Krieg, A
JOURNAL OF NUMBER THEORY, 2004, 107 (02) : 241 - 265
[29] A VARIANT OF A THEOREM BY SPRINGER
Panin, I.
Rehmann, U.
ST PETERSBURG MATHEMATICAL JOURNAL, 2008, 19 (06) : 953 - 959
[30] HERMITIAN QUADRATIC-FORMS AND HERMITIAN MODULAR FORMS
COHEN, DM
RESNIKOFF, HL
PACIFIC JOURNAL OF MATHEMATICS, 1978, 76 (02) : 329 - 337

← 1 2 3 4 5 →