The Künneth Formula for the Twisted de Rham and Higgs Cohomologies

[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.

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