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