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arXiv · 2207.03002

Semiampleness for Calabi--Yau surfaces in positive and mixed characteristic

Fabio Bernasconi·Liam Stigant
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Abstract

In this note we prove the semiampleness conjecture for klt Calabi--Yau surface pairs over an excellent base ring. As applications we deduce that generalised abundance and Serrano's conjecture hold for surfaces. Finally, we study the semiampleness conjecture for Calabi--Yau threefolds over a mixed characteristic DVR.

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Fabio Bernasconi, Liam Stigant. 2022-07-06. Semiampleness for Calabi--Yau surfaces in positive and mixed characteristic. https://arxiv.org/abs/2207.03002

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