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FF-nilpotence and Hodge filtrations beyond isolated singularities

Bradley Dirks, Jakub Witaszek

Source record

Source: arXiv

Published: Sep 7, 2026

arXiv: 2609.07804

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Source abstract

We give Hodge-theoretic characterizations of characteristic-zero varieties of open FF-nilpotent and open weakly FF-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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$F$-nilpotence and Hodge filtrations beyond isolated singularities — Mathematical Frontier Network