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

Autor:	Soldatenkov, Andrey
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.11029 Zobrazit plný text záznamu View this record from Arxiv