Compact moduli of K3 surfaces with a nonsymplectic automorphism
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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_ | 1866912918086352896 |
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| author | Alexeev, Valery Engel, Philip Han, Changho |
| author_facet | Alexeev, Valery Engel, Philip Han, Changho |
| contents | We construct a modular compactification via stable slc pairs for the moduli spaces of K3 surfaces with a nonsymplectic group of automorphisms under the assumption that some combination of the fixed loci of automorphisms defines an effective big divisor, and prove that it is semitoroidal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_13834 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Compact moduli of K3 surfaces with a nonsymplectic automorphism Alexeev, Valery Engel, Philip Han, Changho Algebraic Geometry 14D22, 14J28 We construct a modular compactification via stable slc pairs for the moduli spaces of K3 surfaces with a nonsymplectic group of automorphisms under the assumption that some combination of the fixed loci of automorphisms defines an effective big divisor, and prove that it is semitoroidal. |
| title | Compact moduli of K3 surfaces with a nonsymplectic automorphism |
| topic | Algebraic Geometry 14D22, 14J28 |
| url | https://arxiv.org/abs/2110.13834 |