Massimo Bagnarol, Fabio Perroni, “On the Motivic Class of the Moduli Stack of Twisted <nobr>$G$</nobr>-Covers”, SIGMA, 2023, Volume 19,107, 31 pp.

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

Massimo Bagnarol^a, Fabio Perroni^b

^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

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.

MSC: 14D23,14F45, 14H30

Received: January 2, 2023; in final form December 19, 2023; Published online December 27, 2023

Language: English

DOI: 10.3842/SIGMA.2023.107