On the motive of a quotient variety
type: Item
instance of: scholarly article
title: On the motive of a quotient variety
zbMATH Open document ID: 0929.14033
author: Sebastian Del Baño Rollin
author: Vicente Navarro Aznar
published in: Collectanea Mathematica
publication date: 1998-09-08T00:00:00Z
full work available at URL: https://eudml.org/doc/41228
review text: Given a scheme \(X\) of finite type over a field of characteristic zero and a finite group \(G\) acting on \(X\), we prove that the motive of the quotient scheme \(X/G\) coincides with the submotive of invariants in the motive of \(X\). This is used to prove an assertion by \textit{J. Denef} and \textit{F. Loeser} [J. Algebr. Geom. 7, No. 3, 505-537 (1998)].
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 14A20
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 14L24
zbMATH DE Number: 1186313
zbMATH Keywords: projective variety
zbMATH Keywords: group action
zbMATH Keywords: motive of the quotient scheme
zbMATH Keywords: submotive of invariants
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1186313