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arXiv · 2005.07919

Hodge Theory of $p$-adic varieties: a survey

Wiesaława Nizioł
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Abstract

$p$-adic Hodge Theory is one of the most powerful tools in modern Arithmetic Geometry. In this survey, we will review $p$-adic Hodge Theory for algebraic varieties, present current developments in $p$-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.

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Wiesaława Nizioł. 2020-05-16. Hodge Theory of $p$-adic varieties: a survey. https://arxiv.org/abs/2005.07919

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