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Hermitian matrices and cohomology of Kähler varieties

Andrea Causin·Gian Pietro Pirola
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Abstract

We give some upper bounds on the dimension of the kernel of the cup product map $H^{1}(X,\mathbb{C})\otimes H^{1}(X,\mathbb{C}) \to H^{2}(X,\mathbb{C})$, where $X$ is a compact Kähler variety without Albanese fibrations.

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Andrea Causin, Gian Pietro Pirola. 2006-06-29. Hermitian matrices and cohomology of Kähler varieties. https://arxiv.org/abs/math/0606757

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