Categorical measures for finite group actions

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Standard

Categorical measures for finite group actions. / Bergh, D.; Gorchinskiy, S.; Larsen, M.; Lunts, V.

I: Journal of Algebraic Geometry, Bind 30, Nr. 4, 2021, s. 685-757.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bergh, D, Gorchinskiy, S, Larsen, M & Lunts, V 2021, 'Categorical measures for finite group actions', Journal of Algebraic Geometry, bind 30, nr. 4, s. 685-757. https://doi.org/10.1090/jag/768

APA

Bergh, D., Gorchinskiy, S., Larsen, M., & Lunts, V. (2021). Categorical measures for finite group actions. Journal of Algebraic Geometry, 30(4), 685-757. https://doi.org/10.1090/jag/768

Vancouver

Bergh D, Gorchinskiy S, Larsen M, Lunts V. Categorical measures for finite group actions. Journal of Algebraic Geometry. 2021;30(4):685-757. https://doi.org/10.1090/jag/768

Author

Bergh, D. ; Gorchinskiy, S. ; Larsen, M. ; Lunts, V. / Categorical measures for finite group actions. I: Journal of Algebraic Geometry. 2021 ; Bind 30, Nr. 4. s. 685-757.

Bibtex

@article{15351af0aa98439a87695113fddc3c5d,
title = "Categorical measures for finite group actions",
abstract = "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.",
author = "D. Bergh and S. Gorchinskiy and M. Larsen and V Lunts",
year = "2021",
doi = "10.1090/jag/768",
language = "English",
volume = "30",
pages = "685--757",
journal = "Journal of Algebraic Geometry",
issn = "1056-3911",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Categorical measures for finite group actions

AU - Bergh, D.

AU - Gorchinskiy, S.

AU - Larsen, M.

AU - Lunts, V

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

U2 - 10.1090/jag/768

DO - 10.1090/jag/768

M3 - Journal article

VL - 30

SP - 685

EP - 757

JO - Journal of Algebraic Geometry

JF - Journal of Algebraic Geometry

SN - 1056-3911

IS - 4

ER -

ID: 284773147