Work

Extensions of k-regulous functions from two-dimensional varieties

Year: 2024

Type: article

Abstract: 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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-024-02981-y

Author: Juliusz Banecki

Institution: Jagiellonian University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

OpenAlex ID: W4402199109