The Künneth Formula for the Twisted de Rham and Higgs Cohomologies

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dc.contributor.authorChen, K.-C.
dc.contributor.authorYu, J.-D.
dc.date.accessioned2025-11-24T10:24:06Z
dc.date.issued2018
dc.description.abstractWe 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.
dc.description.sponsorshipThe second author thanks Noriko Yui for providing him with the wonderful opportunity to work with her during the years 2006 to 2008, and the happy lunch time at Queen’s University. We thank the referee for the careful reading, helpful comments, and, in particular, for pointing out the insufficiency of the proof of Proposition 1 in an earlier version. This work was partially supported by the MoST and the NCTS, Taiwan.
dc.identifier.citationThe 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.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.055
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14F40; 18F20; 14C30
dc.identifier.otherarXiv: 1608.08700
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209517
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleThe Künneth Formula for the Twisted de Rham and Higgs Cohomologies
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік