Motivic classes and the integral Hodge Question

We prove that the obstruction to the integral Hodge Question factors through the completion of the Grothendieck ring of varieties for the dimension filtration. As an application, combining work of Peyre, Colliot-Thélène and Voisin, we give the first example of a finite group $G$ such that the motivi...

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Bibliographic Details
Main Author: Scavia, Federico
Format: Article
Language:English
Published: Académie des sciences 2021-04-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.178/