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  Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds

Otiman, A., & Toma, M. (2021). Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 22(2), 485-503. doi:10.2422/2036-2145.201812_001.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-4AEA-D Version Permalink: https://hdl.handle.net/21.11116/0000-0009-7BD0-2
Genre: Journal Article

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arXiv_1811.02541.pdf (Preprint), 249KB
 
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https://doi.org/10.2422/2036-2145.201812_001 (Publisher version)
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 Creators:
Otiman, Alexandra1, Author           
Toma, Matei1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Complex Variables, Differential Geometry
 Abstract: We compute the Dolbeault cohomology of geodesically convex domains contained
in Cousin groups which satisfy a strong dispersiveness condition. As a
consequence we obtain a description of the Dolbeault cohomology of
Oeljeklaus-Toma manifolds and in particular the fact that the Hodge
decomposition holds for their cohomology.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1811.02541
DOI: 10.2422/2036-2145.201812_001
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Title: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Source Genre: Journal
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Publ. Info: Scuola Normale Superiore, Pisa
Pages: - Volume / Issue: 22 (2) Sequence Number: - Start / End Page: 485 - 503 Identifier: -