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

作     者：Becher, Karim Johannes Grimm, David Van Geel, Jan 

作者机构：Univ Antwerp Dept Wiskunde & Informat B-2020 Antwerp Belgium Univ Konstanz Zukunftskolleg D-78457 Constance Germany Ecole Polytech Fed Lausanne EPFL SB MATHGEOM CSAG CH-1015 Lausanne Switzerland Univ Ghent Vakgrp Wiskunde B-9000 Ghent Belgium 

出 版 物：《PACIFIC JOURNAL OF MATHEMATICS》 (Pac. J. Math.)

年 卷 期：2014年第267卷第2期

页      面：257-276页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Deutsche Forschungsgemeinschaft (project Quadratic Forms and Invariants) [BE 2614/3] Swiss National Science Foundation [200020-124785/1] Zukunftskolleg, Universitat Konstanz Swiss National Science Foundation (SNF) [200020_124785] Funding Source: Swiss National Science Foundation (SNF) 

主　　题：isotropy local-global principle real field sums of squares u-invariant Pythagoras number valuation algebraic function fields 

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.