Fano Shimura varieties with mostly branched cusps
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866911788819283968 |
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| author | Maeda, Yota Odaka, Yuji |
| author_facet | Maeda, Yota Odaka, Yuji |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_08254 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Fano Shimura varieties with mostly branched cusps Maeda, Yota Odaka, Yuji Algebraic Geometry Number Theory 14G35 (Primary), 14E99, 11F03, 11E12 (Secondary) 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. |
| title | Fano Shimura varieties with mostly branched cusps |
| topic | Algebraic Geometry Number Theory 14G35 (Primary), 14E99, 11F03, 11E12 (Secondary) |
| url | https://arxiv.org/abs/2105.08254 |