Extensions of k-regulous functions from two-dimensional varieties

Fuente: arXiv

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Autore principale:	Banecki, Juliusz
Natura:	Preprint
Pubblicazione:	2023
Soggetti:	Algebraic Geometry
Accesso online:	Acceder al recurso
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_version_	1866910544106094592
author	Banecki, Juliusz
author_facet	Banecki, Juliusz
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2303_02481
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Extensions of k-regulous functions from two-dimensional varieties Banecki, Juliusz Algebraic Geometry 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.
title	Extensions of k-regulous functions from two-dimensional varieties
topic	Algebraic Geometry
url	https://arxiv.org/abs/2303.02481

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