Quasi-hyperbolicity of totally singular quadratic forms

被引：0

作者：

Laghribi, A ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

ALGEBRAIC AND ARITHMETIC THEORY OF QUADRATIC FORMS, PROCEEDINGS | 2004年 / 344卷

关键词：

quadratic forms; function field of a quadratic form; quasi-hyperbolicity; subform theorem; norm theorem; quasi-Pfister forms; quasi-Pfister neighbors; standard splitting tower of a quadratic form;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By introducing the notion of quasi-hyperbolicity for totally singular quadratic forms we prove the analogue of the Cassels-Pfister subform theorem for such quadratic forms. As an application we completely study the quasi-hyperbolicity of a totally singular quadratic form over the function field of another one. Other related results are also included.

引用

页码：237 / 248

页数：12

共 50 条

[1] THE QUASI-HYPERBOLICITY CONSTANT OF A METRIC SPACE
Dragomir, George
Nicas, Andrew
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (04): : 1041 - 1064
[2] On totally singular generalized quadratic forms
Nokhodkar, A. -H.
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2018, 25 (03) : 383 - 392
[3] On splitting of totally singular quadratic forms
Laghribi A.
[J]. Rendiconti del Circolo Matematico di Palermo, 2004, 53 (3) : 325 - 336
[4] Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of C2
Bedford, Eric
Guerini, Lorenzo
Smillie, John
[J]. PURE AND APPLIED MATHEMATICS QUARTERLY, 2022, 18 (01) : 5 - 32
[5] QUASI-HYPERBOLICITY AND APPLICATIONS - PRELIMINARY-REPORT
CHURCHILL, RC
FRANKE, JE
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (05): : A547 - A548
[6] The norm theorem for totally singular quadratic forms
Laghribi, Ahmed
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (02) : 575 - 592
[7] Orthogonal involutions and totally singular quadratic forms in characteristic two
Nokhodkar, A-H.
[J]. MANUSCRIPTA MATHEMATICA, 2017, 154 (3-4) : 429 - 440
[8] Orthogonal involutions and totally singular quadratic forms in characteristic two
A.-H. Nokhodkar
[J]. manuscripta mathematica, 2017, 154 : 429 - 440
[9] Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics
Scully, Stephen
[J]. MATHEMATISCHE ANNALEN, 2018, 372 (3-4) : 1437 - 1458
[10] Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics
Stephen Scully
[J]. Mathematische Annalen, 2018, 372 : 1437 - 1458

← 1 2 3 4 5 →