Riemann-Roch for Deligne-Mumford stacks
arXiv:1205.4742
Abstract
We give a simple proof of the Riemann-Roch theorem for Deligne-Mumford stacks using the equivariant Riemann-Roch theorem and the localization theorem in equivariant K-theory together with some basic commutative algebra of Artin rings.
30 pages, to appear in proceedings of the Harris 60 conference