The K\"unneth Formula for the Twisted de Rham and Higgs Cohomologies
Algebraic Geometry
2018-06-13 v3
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.
Keywords
Cite
@article{arxiv.1608.08700,
title = {The K\"unneth Formula for the Twisted de Rham and Higgs Cohomologies},
author = {Kai-Chieh Chen and Jeng-Daw Yu},
journal= {arXiv preprint arXiv:1608.08700},
year = {2018}
}