We define formal vector bundles with marked sections on Hilbert modular schemes and we show how to use them to construct modular sheaves with an integrable meromorphic connection and a filtration which, in degree 0, gives to us a p-adic interpolation of the usual Hodge filtration. We define an U_p-operator on this sheaf and relate it with the sheaf of overconvergent Hilbert modular forms.
Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes / Graziani, Giacomo. - (2020 Jun 17).
Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes
Graziani, Giacomo
2020
Abstract
We define formal vector bundles with marked sections on Hilbert modular schemes and we show how to use them to construct modular sheaves with an integrable meromorphic connection and a filtration which, in degree 0, gives to us a p-adic interpolation of the usual Hodge filtration. We define an U_p-operator on this sheaf and relate it with the sheaf of overconvergent Hilbert modular forms.File in questo prodotto:
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