On non-Kähler degrees of complex manifolds

Published 11 May 2016 in math.DG and math.CV | (1605.03368v3)

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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