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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.02481 |
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| _version_ | 1866910544106094592 |
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| 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 |