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

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.

References in corpus (2)

• The Grothendieck group of algebraic stacks
• On the weight zero compactly supported cohomology of ${\mathcal{H}}_{g,n}$