Extensions of k-regulous functions from two-dimensional varieties
Algebraic Geometry
2024-07-30 v4
Abstract
We prove that a -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 -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.
Cite
@article{arxiv.2303.02481,
title = {Extensions of k-regulous functions from two-dimensional varieties},
author = {Juliusz Banecki},
journal= {arXiv preprint arXiv:2303.02481},
year = {2024}
}