HERMITIAN u-INVARIANTS OVER FUNCTION FIELDS OF p-ADIC CURVES

被引：3

作者：

Wu, Zhengyao ^{[1
]}

机构：

[1] Emory Univ, Dept Math & Comp Sci, 400 Dowman Dr,W401, Atlanta, GA 30322 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 03期

关键词：

Hermitian form; u-invariant; p-adic curve; DIVISION-ALGEBRAS; QUADRATIC-FORMS; SPRINGER; SYSTEMS; THEOREM;

D O I：

10.1090/proc/13413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p be an odd prime. Let F be the function field of a p-adic curve. Let A be a central simple algebra of period 2 over F with an involution s. There are known upper bounds for the u-invariant of hermitian forms over (A, sigma). In this article we compute the exact values of the u-invariant of hermitian forms over (A, sigma).

引用

页码：909 / 920

页数：12

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