Jeng-Daw Yu
Published 2012-03-11, updated 2013-10-04Version 2
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.
Comments: 34 pages. Paper shortened, in particular, sections 3 and 6 in previous version have been removed; a mistake in the proof in old section 5 corrected
Kodaira-Saito vanishing for the irregular Hodge filtration
Fields of definition of Hodge loci
The field of moduli and fields of definition of dessins d'enfants
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