Mori dream spaces and Q-homology quadrics
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915507271106560 |
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| author | Cascini, Paolo Catanese, Fabrizio Chen, Yifan Keum, Jong Hae |
| author_facet | Cascini, Paolo Catanese, Fabrizio Chen, Yifan Keum, Jong Hae |
| contents | We show that Shavel type surfaces are fake quadrics of even type which are not Mori dream surfaces, yet there are infinitely many primes $p$ such that the reduction modulo $p$ is a Mori dream surface.
We investigate fake quadrics, first concerning the property of being Mori dream surfaces, then we try to determine which surfaces isogenous to a product are fake quadrics of even type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15589 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mori dream spaces and Q-homology quadrics Cascini, Paolo Catanese, Fabrizio Chen, Yifan Keum, Jong Hae Algebraic Geometry 14J15, 14J25, 14J29, 14J80 We show that Shavel type surfaces are fake quadrics of even type which are not Mori dream surfaces, yet there are infinitely many primes $p$ such that the reduction modulo $p$ is a Mori dream surface. We investigate fake quadrics, first concerning the property of being Mori dream surfaces, then we try to determine which surfaces isogenous to a product are fake quadrics of even type. |
| title | Mori dream spaces and Q-homology quadrics |
| topic | Algebraic Geometry 14J15, 14J25, 14J29, 14J80 |
| url | https://arxiv.org/abs/2501.15589 |