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arXiv · 1905.07793

On the Hodge structures of compact hyperk\"ahler manifolds

Andrey Soldatenkov
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Abstract

The purpose of this note is to give an account of a well-known folklore result: the Hodge structure on the second cohomology of a compact hyperk\"ahler manifold uniquely determines Hodge structures on all higher cohomology groups. We discuss the precise statement and its proof, which are somewhat difficult to locate in the literature.

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BibTeXRIS

Andrey Soldatenkov. 2019-05-19. On the Hodge structures of compact hyperk\"ahler manifolds. https://doi.org/10.4310/mrl.2021.v28.n2.a10

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