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arXiv · 1605.03368

On non-K\"ahler degrees of complex manifolds

Daniele Angella·Adriano Tomassini·Misha Verbitsky
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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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Daniele Angella, Adriano Tomassini, Misha Verbitsky. 2016-05-11. On non-K\"ahler degrees of complex manifolds. https://doi.org/10.1515/advgeom-2018-0026

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