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- W3091904904 abstract "We construct an integral model of the perfectoid modular curve. Studying this object, we prove some vanishing results for the coherent cohomology at perfectoid level. We use a local duality theorem at finite level to compute duals for the coherent cohomology of the integral perfectoid curve. Specializing to the structural sheaf, we can describe the dual of the completed cohomology as the inverse limit of the integral cusp forms of weight $2$ and trace maps." @default.
- W3091904904 created "2020-10-15" @default.
- W3091904904 creator A5026352872 @default.
- W3091904904 date "2020-10-07" @default.
- W3091904904 modified "2023-09-27" @default.
- W3091904904 title "An integral model of the perfectoid modular curve" @default.
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- W3091904904 hasPublicationYear "2020" @default.
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