Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes
Algebraic Geometry
2020-08-03 v1 Number Theory
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 -adic interpolation of the usual Hodge filtration. We relate it with the sheaf of overconvergent Hilbert modular forms.
Keywords
Cite
@article{arxiv.2007.15997,
title = {Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes},
author = {Giacomo Graziani},
journal= {arXiv preprint arXiv:2007.15997},
year = {2020}
}
Comments
22 pages, extract from PhD thesis