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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 055, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.055 (Mi sigma1354) 		 
The Künneth Formula for the Twisted de Rham and Higgs Cohomologies

Kai-Chieh Chena, Jeng-Daw Yub

a Department of Mathematics, University of California, Berkeley, Berkeley, CA, USA
b Department of Mathematics, National Taiwan University, Taipei, Taiwan
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DOI: https://doi.org/10.3842/SIGMA.2018.055
Abstract: 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.
Keywords: de Rham complex; Hodge filtration; Künneth formula.
Funding agency Grant number
Ministry of Science and Technology, Taiwan
National Center for Theoretical Sciences
This work was partially supported by the MoST and the NCTS, Taiwan.
Received: February 23, 2018; in final form June 2, 2018; Published online June 12, 2018
Bibliographic databases:
Document Type: Article
MSC: 14F40; 18F20; 14C30
Language: English
Citation: Kai-Chieh Chen, Jeng-Daw Yu, “The Künneth Formula for the Twisted de Rham and Higgs Cohomologies”, SIGMA, 14 (2018), 055, 14 pp.
Citation in format AMSBIB
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