SUMS OF SQUARES IN ALGEBRAIC FUNCTION FIELDS OVER A COMPLETE DISCRETELY VALUED FIELD

被引：11

作者：

Becher, Karim Johannes ^{[1
,2
]}

Grimm, David ^{[3
]}

Van Geel, Jan ^{[4
]}

机构：

[1] Univ Antwerp, Dept Wiskunde & Informat, B-2020 Antwerp, Belgium

[2] Univ Konstanz, Zukunftskolleg, D-78457 Constance, Germany

[3] Ecole Polytech Fed Lausanne, EPFL SB MATHGEOM CSAG, CH-1015 Lausanne, Switzerland

[4] Univ Ghent, Vakgrp Wiskunde, B-9000 Ghent, Belgium

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 267卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

isotropy; local-global principle; real field; sums of squares; u-invariant; Pythagoras number; valuation; algebraic function fields; VALUATIONS; THEOREM;

D O I：

10.2140/pjm.2014.267.257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A recently found local-global principle for quadratic forms over function fields of curves over a complete discretely valued field is applied to the study of quadratic forms, sums of squares, and related field invariants.

引用

页码：257 / 276

页数：20

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