Extension of $k$-regulous functions from varieties of arbitrary dimension

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arxiv 2412.14412 v2 pith:7TIARRXV submitted 2024-12-18 math.AG

Juliusz Banecki This is my paper · ORCID

classification math.AG

keywords affineregulousalwaysarbitrarydefineddimensionentireextended

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abstract

We prove that a $k$-regulous function defined on a non-singular affine variety can always be extended to the entire affine space.