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Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes
Published 31 Jul 2020 in math.AG and math.NT | (2007.15997v1)
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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