On some regularity condition
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866929620038713344 |
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| author | Gryszka, Beata Gwoździewicz, Janusz |
| author_facet | Gryszka, Beata Gwoździewicz, Janusz |
| contents | Let $\mathbb{K}$ be an uncountable field of characteristic zero and let $f$ be a function from $\mathbb{K}^n$ to $\mathbb{K}$. We show that if the restriction of $f$ to every affine plane $L\subset\mathbb{K}^n$ is regular, then $f$ is a regular function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_08001 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On some regularity condition Gryszka, Beata Gwoździewicz, Janusz Algebraic Geometry 14A99 14P99 Let $\mathbb{K}$ be an uncountable field of characteristic zero and let $f$ be a function from $\mathbb{K}^n$ to $\mathbb{K}$. We show that if the restriction of $f$ to every affine plane $L\subset\mathbb{K}^n$ is regular, then $f$ is a regular function. |
| title | On some regularity condition |
| topic | Algebraic Geometry 14A99 14P99 |
| url | https://arxiv.org/abs/2106.08001 |