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arXiv · 2105.08254

Fano Shimura varieties with mostly branched cusps

Yota Maeda·Yuji Odaka
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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.

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Yota Maeda, Yuji Odaka. 2021-05-18. Fano Shimura varieties with mostly branched cusps. https://doi.org/10.1007/978-3-031-17859-7

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