Fano Shimura varieties with mostly branched cusps
Algebraic Geometry
2024-03-06 v2 Number Theory
Abstract
We prove that the Satake-Baily-Borel compactification of certain Shimura varieties are Fano varieties, Calabi-Yau varieties or have ample canonical divisors with mild singularities. We also prove some variants statements, give applications and discuss various examples including new ones, for instance, the moduli spaces of unpolarized (log) Enriques surfaces.
Keywords
Cite
@article{arxiv.2105.08254,
title = {Fano Shimura varieties with mostly branched cusps},
author = {Yota Maeda and Yuji Odaka},
journal= {arXiv preprint arXiv:2105.08254},
year = {2024}
}
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33 pages