The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2018 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209517 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862643240732196864 |
|---|---|
| author | Chen, K.-C. Yu, J.-D. |
| author_facet | Chen, K.-C. Yu, J.-D. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-07T14:20:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209517 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T14:20:42Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chen, K.-C. Yu, J.-D. 2025-11-24T10:24:06Z 2018 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. 1815-0659 2010 Mathematics Subject Classification: 14F40; 18F20; 14C30 arXiv: 1608.08700 https://nasplib.isofts.kiev.ua/handle/123456789/209517 https://doi.org/10.3842/SIGMA.2018.055 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. The 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Künneth Formula for the Twisted de Rham and Higgs Cohomologies Article published earlier |
| spellingShingle | The Künneth Formula for the Twisted de Rham and Higgs Cohomologies Chen, K.-C. Yu, J.-D. |
| title | The Künneth Formula for the Twisted de Rham and Higgs Cohomologies |
| title_full | The Künneth Formula for the Twisted de Rham and Higgs Cohomologies |
| title_fullStr | The Künneth Formula for the Twisted de Rham and Higgs Cohomologies |
| title_full_unstemmed | The Künneth Formula for the Twisted de Rham and Higgs Cohomologies |
| title_short | The Künneth Formula for the Twisted de Rham and Higgs Cohomologies |
| title_sort | künneth formula for the twisted de rham and higgs cohomologies |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209517 |
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