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Cohomology and Andr\'e motives of hyperk\"ahler orbifolds by Soldatenkov, Andrey is a scholarly article available to read on EtoBox.

What is Cohomology and Andr\'e motives of hyperk\"ahler orbifolds about?

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.

Author

Soldatenkov, Andrey

Published

2022

Language

EN