On non-Kähler degrees of complex manifolds-Reference-Cited by-同舟云学术

On non-Kähler degrees of complex manifolds

Published:2018-10-25 Issue:1 Volume:19 Page:65-69
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Angella Daniele¹,Tomassini Adriano²,Verbitsky Misha³⁴

Affiliation:

1. Dipartimento di Matematica e Informatica “Ulisse Dini” , Università degli Studi di Firenze , viale Morgagni 67/a, 50134 Firenze , Italy

2. Dipartimento di Scienze Matematiche, Fisiche, ed Informatiche, Plesso Matematico e Informatico , Università di Parma , Parco Area delle Scienze 53/A, 43124 , Parma , Italy .

3. Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castor ina , 110, Jardim Botânico, CEP 22460-320 , Rio de Janeiro, RJ , Brasil

4. Laboratory of Algebraic Geometry, Faculty of Mathematics , National Research University HSE , 7 Vavilova Str . Moscow , Russia

Abstract

Abstract We study cohomological properties of complex manifolds. In particular, under suitable metric conditions, we extend to higher dimensions a result by A. Teleman, which provides an upper bound for the Bott– Chern cohomology in terms of Betti numbers for compact complex surfaces according to the dichotomy b 1 even or odd.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0026/pdf

Reference29 articles.

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3. D. Angella, G. Dloussky, A. Tomassini, On Bott–Chern cohomology of compact complex surfaces. Ann. Mat. Pura Appl. (4) 195 (2016), 199–217. MR3453598 Zbl 1343.32012

4. D. Angella, M. G. Franzini, F. A. Rossi, Degree of non-Kählerianity for 6-dimensional nilmanifolds. Manuscripta Math. 148 (2015), 177–211. MR3377754 Zbl 1326.57057

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