G-theory of root stacks and equivariant K-theory

Abstract

Using the description of the category of quasi-coherent sheaves on a root stack given in the paper of N. Borne and A. Vistoli, we study the G-theory of root stacks via localisation methods. We apply our results to the study of equivariant K-theory of algebraic varieties under certain conditions.

An error in the proof was fixed. Final version to appear in Annals of K-theory

References in corpus (2)

• Derived categories of Burniat surfaces and exceptional collections
• Infinite root stacks and quasi-coherent sheaves on logarithmic schemes

Cited by in corpus (1)

• Semi-integral Brauer-Manin obstruction and quadric orbifold pairs