Categorical measures for finite group actions

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Dokumenter

  • D. Bergh
  • S. Gorchinskiy
  • M. Larsen
  • V Lunts
Given a variety with a finite group action, we compare its equivariant categorical measure, that is, the categorical measure of the corresponding quotient stack, and the categorical measure of the extended quotient. Using weak factorization for orbifolds, we show that for a wide range of cases that these two measures coincide. This implies, in particular, a conjecture of Galkin and Shinder on categorical and motivic zeta-functions of varieties. We provide examples showing that, in general, these two measures are not equal. We also give an example related to a conjecture of Polishchuk and Van den Bergh, showing that a certain condition in this conjecture is indeed necessary.
OriginalsprogEngelsk
TidsskriftJournal of Algebraic Geometry
Vol/bind30
Udgave nummer4
Sider (fra-til)685-757
ISSN1056-3911
DOI
StatusUdgivet - 2021

ID: 284773147