Fano Shimura varieties with mostly branched cusps
arXiv:2105.08254 · doi:10.1007/978-3-031-17859-7
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.
arXiv comment33 pages
References in corpus (8)
- Log canonical singularities and complete moduli of stable pairs
- On the Kodaira dimension of orthogonal modular varieties
- Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
- Borcherds Products on Unitary Groups
- PL density invariant for type II degenerating K3 surfaces, Moduli compactification and hyperKahler metrics
- Reductive quotients of klt singularities
- Free algebras of modular forms on ball quotients
- Analytic torsion for log-Enriques surfaces and Borcherds product