Hermitian matrices and cohomology of Kähler varieties

Mathematics – Algebraic Geometry

Scientific paper

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11 pages, to appear in Manuscripta Mathematica

Scientific paper

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 K\"ahler variety without Albanese fibrations.

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