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arXiv · 2501.15589

Mori dream spaces and Q-homology quadrics

Paolo Cascini·Fabrizio Catanese·Yifan Chen·Jong Hae Keum
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Abstract

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.

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Paolo Cascini, Fabrizio Catanese, Yifan Chen, Jong Hae Keum. 2025-01-26. Mori dream spaces and Q-homology quadrics. https://doi.org/10.2140/pjm.2025.339.223

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