The Künneth Formula for the Twisted de Rham and Higgs Cohomologies

Symmetry Integrability and Geometry-Methods and Applications

article

Kai-Chieh Chen¹  Jeng-Daw Yu² 

[1] Department of Mathematics, University of California;Department of Mathematics, National Taiwan University

关键词: de Rham complex;    Hodge filtration;    K¨unneth formula;   

DOI  :  10.3842/SIGMA.2018.055

来源: National Academy of Science of Ukraine

【 摘 要 】

We prove the Künneth 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.

【 授权许可】

Unknown