Reduction of Kummer surfaces modulo 2 in the non-supersingular case
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908909873135616 |
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| author | Lazda, Christopher Skorobogatov, Alexei |
| author_facet | Lazda, Christopher Skorobogatov, Alexei |
| contents | We obtain necessary and sufficient conditions for the good reduction of Kummer surfaces attached to abelian surfaces with non-supersingular reduction when the residue field is perfect of characteristic 2. In this case, good reduction with an algebraic space model is equivalent to good reduction with a scheme model, which we explicitly construct. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_13831 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Reduction of Kummer surfaces modulo 2 in the non-supersingular case Lazda, Christopher Skorobogatov, Alexei Number Theory Algebraic Geometry 11G25 (Primary) 11G10, 14G15, 14G20 (Secondary) We obtain necessary and sufficient conditions for the good reduction of Kummer surfaces attached to abelian surfaces with non-supersingular reduction when the residue field is perfect of characteristic 2. In this case, good reduction with an algebraic space model is equivalent to good reduction with a scheme model, which we explicitly construct. |
| title | Reduction of Kummer surfaces modulo 2 in the non-supersingular case |
| topic | Number Theory Algebraic Geometry 11G25 (Primary) 11G10, 14G15, 14G20 (Secondary) |
| url | https://arxiv.org/abs/2205.13831 |