|
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
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.
Received: January 2, 2023; in final form December 19, 2023; Published online December 27, 2023
Citation:
Massimo Bagnarol, Fabio Perroni, “On the Motivic Class of the Moduli Stack of Twisted $G$-Covers”, SIGMA, 19 (2023), 107, 31 pp.
Linking options:
https://www.mathnet.ru/eng/sigma2002 https://www.mathnet.ru/eng/sigma/v19/p107
|
Statistics & downloads: |
Abstract page: | 17 | Full-text PDF : | 6 | References: | 10 |
|