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.
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页数：11
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