Hodge Theory of $p$-adic varieties: a survey
Number Theory
2020-05-19 v1 Algebraic Geometry
Abstract
-adic Hodge Theory is one of the most powerful tools in modern Arithmetic Geometry. In this survey, we will review -adic Hodge Theory for algebraic varieties, present current developments in -adic Hodge Theory for analytic varieties, and discuss some of its applications to problems in Number Theory. This is an extended version of a talk at the Jubilee Congress for the 100th anniversary of the Polish Mathematical Society, Krak\'ow, 2019.
Keywords
Cite
@article{arxiv.2005.07919,
title = {Hodge Theory of $p$-adic varieties: a survey},
author = {Wiesaława Nizioł},
journal= {arXiv preprint arXiv:2005.07919},
year = {2020}
}
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