The Künneth Formula for the Twisted de Rham and Higgs Cohomologies

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Chen, K.-C., Yu, J.-D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209517
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Künneth Formula for the Twisted de Rham and Higgs Cohomologies / K.-C. Chen, J.-D. Yu // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 11 назв. — англ.

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.