An atlas of K3 surfaces with finite automorphism group
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866909951173066752 |
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| author | Roulleau, Xavier |
| author_facet | Roulleau, Xavier |
| contents | We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_08985 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An atlas of K3 surfaces with finite automorphism group Roulleau, Xavier Algebraic Geometry 14J28 We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves. |
| title | An atlas of K3 surfaces with finite automorphism group |
| topic | Algebraic Geometry 14J28 |
| url | https://arxiv.org/abs/2003.08985 |