On the motive of quotients of induced actions

Fuente: arXiv
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Autor principal: de Amorin, Lucas
Formato: Preprint
Publicado: 2024
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author de Amorin, Lucas
author_facet de Amorin, Lucas
contents We explore computational tools that allow to compute the class on the Grothendieck ring of varieties of finite cyclic quotients in some interesting examples. As an main application, we determine the motive of low rank representation varieties associated with torus knots and general linear groups using an equivariant analogue of the strategy for special linear groups due to A.González-Prieto and V.Muñoz.
format Preprint
id arxiv_https___arxiv_org_abs_2410_16992
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the motive of quotients of induced actions
de Amorin, Lucas
Algebraic Geometry
We explore computational tools that allow to compute the class on the Grothendieck ring of varieties of finite cyclic quotients in some interesting examples. As an main application, we determine the motive of low rank representation varieties associated with torus knots and general linear groups using an equivariant analogue of the strategy for special linear groups due to A.González-Prieto and V.Muñoz.
title On the motive of quotients of induced actions
topic Algebraic Geometry
url https://arxiv.org/abs/2410.16992