来自二维变体的 k-regulous 函数的扩展

IF 1.3 2区数学 Q1 MATHEMATICS

Mathematische Annalen Pub Date : 2024-09-03 DOI:10.1007/s00208-024-02981-y

Juliusz Banecki

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引用次数: 0

摘要

我们证明了定义在二维非星形仿射变上的 k-regulous 函数可以扩展到环境变上。此外，我们还推导出了一些有关 k-regulous 函数平方和的结果；特别是，我们证明了非星形仿射变上的每个正半定常函数都可以写成局部 Lipschitz regulous 函数的平方和。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Extensions of k-regulous functions from two-dimensional varieties

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Extensions of k-regulous functions from two-dimensional varieties

We prove that a k-regulous function defined on a two-dimensional non-singular affine variety can be extended to an ambient variety. Additionally we derive some results concerning sums of squares of k-regulous functions; in particular we show that every positive semi-definite regular function on a non-singular affine variety can be written as a sum of squares of locally Lipschitz regulous functions.

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.