Lower bounds for Pythagoras numbers of function fields

被引：2

作者：

Grimm, David ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland

来源：

COMMENTARII MATHEMATICI HELVETICI | 2015年 / 90卷 / 02期

关键词：

Pythagoras number; real function fields; valuations; REAL HOLOMORPHY RINGS; POWERS; SUMS; VALUATIONS; IDEALS;

D O I：

10.4171/CMH/356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers.

引用

页码：365 / 375

页数：11

共 18 条

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