Semiampleness for Calabi--Yau surfaces in positive and mixed characteristic
Algebraic Geometry
2022-10-31 v2
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.
Keywords
Cite
@article{arxiv.2207.03002,
title = {Semiampleness for Calabi--Yau surfaces in positive and mixed characteristic},
author = {Fabio Bernasconi and Liam Stigant},
journal= {arXiv preprint arXiv:2207.03002},
year = {2022}
}
Comments
26 pages, v2: minor revisions. To appear in Nagoya Math. J