Bott-Chern hypercohomology and bimeromorphic invariants
Abstract: The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the cohomology for the sheaf of germs of pluriharmonic functions, the truncated holomorphic de Rham cohomology, and the de Rham cohomology. To define these invariants, by using a sheaf-theoretic approach, we establish a blow-up formula together with a canonical morphism for the Bott-Chern hypercohomology. In particular, we compute the invariants of some compact complex threefolds, such as Iwasawa manifolds and quintic threefolds.
- 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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Bott-Chern hypercohomology and bimeromorphic invariants ; volume:10 ; number:1 ; year:2023 ; extent:38
Complex manifolds ; 10, Heft 1 (2023) (gesamt 38)
- Creator
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Yang, Song
Yang, Xiangdong
- DOI
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10.1515/coma-2022-0148
- URN
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urn:nbn:de:101:1-2023052314022192867780
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:47 AM CEST
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Associated
- Yang, Song
- Yang, Xiangdong
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