On equivariant bundles and their moduli spaces

2021/09/17 by Damiolini, Chiara
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2109.08698

Abstract

Let G be an algebraic group and Γ a finite subgroup of automorphisms of G. Fix also a possibly ramified Γ-covering \widetildeX → X. In this setting one may define the notion of (Γ,G)-bundles over \widetildeX and, in this paper, we give a description of these objects in terms of H-bundles on X, for an appropriate group H over X which depends on the local type of the (Γ,G)-bundles we intend to parametrize. This extends, and along the way clarifies, an earlier work of Balaji and Seshadri.

Related

• Moduli spaces of twisted equivariant G-bundles over a curve
• Twisted bundles and admissible covers
• Notes on equivariant bundles
• Equivariant vector bundles over the complex projective line
• Local types of (Γ,G)-bundles and parahoric group schemes