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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 107, 31 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.107
(Mi sigma2002)
 

On the Motivic Class of the Moduli Stack of Twisted $G$-Covers

Massimo Bagnarola, Fabio Perronib

a Dipartimento di Ingegneria e Architettura, Università degli Studi di Trieste, via Valerio 6/1, 34127 Trieste, Italy
b Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste
References:
Abstract: We describe the class, in the Grothendieck group of stacks, of the stack of twisted $G$-covers of genus $0$ curves, in terms of the loci corresponding to covers over smooth bases.
Keywords: moduli spaces of covers, Grothendieck group of stacks.
Funding agency Grant number
Istituto Nazionale di Alta Matematica "Francesco Severi" 2017SSNZAW 005-PE1
The second author was partially supported by the national project 2017SSNZAW 005-PE1 “Moduli Theory and Birational Classification”, by the research group GNSAGA of INDAM and by FRA of the University of Trieste.
Received: January 2, 2023; in final form December 19, 2023; Published online December 27, 2023
Document Type: Article
MSC: 14D23,14F45, 14H30
Language: English
Citation: Massimo Bagnarol, Fabio Perroni, “On the Motivic Class of the Moduli Stack of Twisted $G$-Covers”, SIGMA, 19 (2023), 107, 31 pp.
Citation in format AMSBIB
\Bibitem{BagPer23}
\by Massimo~Bagnarol, Fabio~Perroni
\paper On the Motivic Class of the Moduli Stack of Twisted $G$-Covers
\jour SIGMA
\yr 2023
\vol 19
\papernumber 107
\totalpages 31
\mathnet{http://mi.mathnet.ru/sigma2002}
\crossref{https://doi.org/10.3842/SIGMA.2023.107}
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