Irregular Hodge filtration on twisted de Rham cohomology
Jeng-Daw Yu
TL;DR
This paper introduces and explores the irregular Hodge filtration on the twisted de Rham cohomology of smooth quasi-projective complex varieties, expanding the understanding of their complex geometric structures.
Contribution
It provides a new definition and foundational properties for the irregular Hodge filtration in the context of twisted de Rham cohomology.
Findings
Established the basic properties of the irregular Hodge filtration
Extended Hodge theory to irregular, exponentially twisted cases
Provided a framework for future research in complex geometry
Abstract
We give a definition and study the basic properties of the irregular Hodge filtration on the exponentially twisted de Rham cohomology of a smooth quasi-projective complex variety.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Mathematical Identities