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

被引：1

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

共 29 条

[1] [Anonymous], 1982, Izv. Akad. Nauk SSSR Ser. Mat.
[2] Cassels J. W. S., 1967, P INS C ORG LOND MAT
[3] DISCRIMINANTS OF INVOLUTIONS ON HENSELIAN DIVISION-ALGEBRAS
CHACRON, M
DHERTE, H
TIGNOL, JP
WADSWORTH, AR
YANCHEVSKII, VI
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1995, 167 (01) : 49 - 79
[4] Chevalley C., 1935, Abh. Math. Semin. Univ. Hamb., V11, P73
[5] Chevalley H., 1935, Abh. Math. Sem. Univ. Hamburg, V11, P76, DOI [DOI 10.1007/BF02940715, 10.1007/bf02940715]
[6] Zeros of systems of p-adic quadratic forms
Heath-Brown, D. R.
[J]. COMPOSITIO MATHEMATICA, 2010, 146 (02) : 271 - 287
[7] DIVISION-ALGEBRAS OVER HENSELIAN FIELDS
JACOB, B
WADSWORTH, A
[J]. JOURNAL OF ALGEBRA, 1990, 128 (01) : 126 - 179
[8] KMRT98 M.-A., 1998, Amer. Math. Soc. Colloq. Publ., V44, DOI DOI 10.1090/COLL/044
[9] Knus M.-A., 1991, Grundlehren der Mathematischen Wissenschaften, V294, DOI DOI 10.1007/978-3-642-75401-2
[10] Lam T-Y., 2004, Graduate Studies in Mathematics

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