Academic Journal

On the motive of quotients of induced actions

Bibliographic Details
Title: On the motive of quotients of induced actions
Authors: de Amorin, Lucas
Source: Journal of Algebra. 683:166-231
Publication Status: Preprint
Publisher Information: Elsevier BV, 2025.
Publication Year: 2025
Subject Terms: Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)
Description: 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.
Revised version
Document Type: Article
Language: English
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2025.06.029
DOI: 10.48550/arxiv.2410.16992
Access URL: http://arxiv.org/abs/2410.16992
Rights: Elsevier TDM
arXiv Non-Exclusive Distribution
Accession Number: edsair.doi.dedup.....bdb2b6e2ebb47b4ab6a2242648c9865e
Database: OpenAIRE
Description
ISSN:00218693
DOI:10.1016/j.jalgebra.2025.06.029