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 b1 even or odd.

On non-Kähler degrees of complex manifolds / Angella, Daniele; Tomassini, Adriano; Verbitsky, Misha. - In: ADVANCES IN GEOMETRY. - ISSN 1615-7168. - 19:1(2019), pp. 65-69. [10.1515/advgeom-2018-0026]

On non-Kähler degrees of complex manifolds

Tomassini, Adriano
;
2019-01-01

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 b1 even or odd.
On non-Kähler degrees of complex manifolds / Angella, Daniele; Tomassini, Adriano; Verbitsky, Misha. - In: ADVANCES IN GEOMETRY. - ISSN 1615-7168. - 19:1(2019), pp. 65-69. [10.1515/advgeom-2018-0026]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2856377
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