Exponentially twisted de Rham cohomology and rigid cohomology

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arxiv 2111.05689 v1 pith:LVFWTMZS submitted 2021-11-10 math.AG

Shizhang Li , Dingxin Zhang This is my paper · ORCID

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keywords cohomologyexponentiallyrhamrigidtwistedcoefficientscomparisoncrystal

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We prove a comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal.

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De Rham-Higgs comparison for mixed Hodge modules in positive characteristic
math.AG 2025-07 conditional novelty 6.0 of 10

A de Rham-Higgs comparison for mixed-Hodge-module-inspired subcomplexes is established in special positive-characteristic cases, yielding decomposition and vanishing theorems when the logarithmic cotangent bundle spli...