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arXiv · 1406.2142

Geometric Hodge structures with prescribed Hodge numbers

Donu Arapura
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Abstract

Call a pure Hodge structure geometric if it is contained in the cohomology of a smooth complex projective variety. The main goal is to show that for any set of Hodge numbers (subject to the obvious constraints), there exists a geometric Hodge structure with precisely these Hodge numbers. This is related to recent work of Schreieder, but the construction here is simpler. This also contains some speculations about 2 dimensional geometric Hodge structures.

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Donu Arapura. 2014-06-09. Geometric Hodge structures with prescribed Hodge numbers. https://arxiv.org/abs/1406.2142

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