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arXiv · 2609.07804

$F$-nilpotence and Hodge filtrations beyond isolated singularities

Bradley Dirks·Jakub Witaszek
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Abstract

We give Hodge-theoretic characterizations of characteristic-zero varieties of open $F$-nilpotent and open weakly $F$-nilpotent type, extending a result of Srinivas and Takagi beyond isolated singularities. We prove one direction unconditionally and the converse assuming the weak ordinarity conjecture.

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Bradley Dirks, Jakub Witaszek. 2026-09-07. $F$-nilpotence and Hodge filtrations beyond isolated singularities. https://arxiv.org/abs/2609.07804

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