Hermitian matrices and cohomology of Kähler varieties
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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.
11 pages, to appear in Manuscripta Mathematica
11 pages, to appear in Manuscripta Mathematica