Coregularity of smooth Fano threefolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914959266414592 |
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| author | Avilov, Artem Loginov, Konstantin Przyjalkowski, Victor |
| author_facet | Avilov, Artem Loginov, Konstantin Przyjalkowski, Victor |
| contents | We study the coregularity of smooth Fano threefolds. We prove that for 100 out of 105 families of smooth Fano threefolds, a general member in the family has coregularity 0; moreover, for 92 families out of these 100, any member in the family has coregularity 0; for the remaining 5 families, we obtain some partial results. In particular, we show that there exist families of smooth Fano threefolds whose general elements have positive coregularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16784 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coregularity of smooth Fano threefolds Avilov, Artem Loginov, Konstantin Przyjalkowski, Victor Algebraic Geometry We study the coregularity of smooth Fano threefolds. We prove that for 100 out of 105 families of smooth Fano threefolds, a general member in the family has coregularity 0; moreover, for 92 families out of these 100, any member in the family has coregularity 0; for the remaining 5 families, we obtain some partial results. In particular, we show that there exist families of smooth Fano threefolds whose general elements have positive coregularity. |
| title | Coregularity of smooth Fano threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.16784 |