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arXiv · 2007.15997

Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes

Giacomo Graziani
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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 relate it with the sheaf of overconvergent Hilbert modular forms.

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Giacomo Graziani. 2020-07-31. Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes. https://arxiv.org/abs/2007.15997

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