The K\"unneth Formula for the Twisted de Rham and Higgs Cohomologies
Kai-Chieh Chen, Jeng-Daw Yu
TL;DR
This paper proves a K"unneth formula for irregular Hodge filtrations on twisted de Rham and Higgs cohomologies, advancing understanding of their structure on complex varieties.
Contribution
It establishes the K"unneth formula for irregular Hodge filtrations, providing a new comparison method for chain complexes in this context.
Findings
K"unneth formula proven for irregular Hodge filtrations
Method involves comparison of chain complexes with elimination of indeterminacy
Enhances understanding of twisted cohomologies on complex varieties
Abstract
We prove the K\"unneth formula for the irregular Hodge filtrations on the exponentially twisted de Rham and the Higgs cohomologies of smooth quasi-projective complex varieties. The method involves a careful comparison of the underlying chain complexes under a certain elimination of indeterminacy.
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