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).
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页码：909 / 920
页数：12
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