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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Causin, A., Pirola, G.P. Hermitian matrices and cohomology of Kähler varieties. manuscripta math. 121, 157–168 (2006). https://doi.org/10.1007/s00229-006-0033-7
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DOI: https://doi.org/10.1007/s00229-006-0033-7