Sums of Squares on Hypersurfaces

被引：0

作者：

Blachut, Kacper ^{[1
]}

Kowalczyk, Tomasz ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 02期

关键词：

Pythagoras number; sums of squares; algebraic surface; coordinate ring; PYTHAGORAS NUMBER;

D O I：

10.1007/s00025-023-02118-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Pythagoras number of rings of type R[x, y, root f(x, y)] is infinite, provided that the polynomial f(x, y) satisfies some mild conditions.

引用

页数：11

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