Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
Abstract: It is proved that on nilmanifolds with abelian complex structure, there exists a canonically constructed non-trivial holomorphic Poisson structure.We identify the necessary and sufficient condition for its associated cohomology to be isomorphic to the cohomology associated to trivial (zero) holomorphic Poisson structure. We also identify a sufficient condition for this isomorphism to be at the level of Gerstenhaber algebras.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds ; volume:6 ; number:1 ; year:2019 ; pages:88-102 ; extent:15
Complex manifolds ; 6, Heft 1 (2019), 88-102 (gesamt 15)
- Creator
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Poon, Yat Sun
Simanyi, John
- DOI
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10.1515/coma-2019-0004
- URN
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urn:nbn:de:101:1-2410281506392.125737845783
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:30 AM CEST
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Associated
- Poon, Yat Sun
- Simanyi, John
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Algebraic surfaces and holomorphic vector bundles
Cycle classes for algebraic De Rham cohomology and crystalline cohomology
Cycle classes for algebraic De Rham cohomology and crystalline cohomology
Local cohomology sheaves on algebraic stacks
Galois cohomology of algebraic number fields
Local cohomology sheaves on algebraic stacks