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arXiv · 2209.11029

Cohomology and Andr\'e motives of hyperk\"ahler orbifolds

Andrey Soldatenkov
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Abstract

One of the main tools for the study of compact hyperk\"ahler manifolds is the natural action of the Looijenga-Lunts-Verbitsky Lie algebra on the cohomology of such manifolds. This also applies to the mildly singular holomorphic symplectic varieties - hyperk\"ahler orbifolds, allowing us to prove that Andr\'e motives of such orbifolds tend to be abelian.

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BibTeXRIS

Andrey Soldatenkov. 2022-09-22. Cohomology and Andr\'e motives of hyperk\"ahler orbifolds. https://arxiv.org/abs/2209.11029

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