Riemann-Roch for quotients and Todd classes of simplicial toric varieties
Algebraic Geometry
2016-09-07 v2
Abstract
In this paper we give an explicit formula for the Riemann-Roch map for singular schemes which are quotients of smooth schemes by diagonalizable groups. As an application we obtain a simple proof of a formula for the Todd class of a simplicial toric variety. An equivariant version of this formula was previously obtained for complete simplicial toric varieties by Brion and Vergne using different techniques.
Keywords
Cite
@article{arxiv.math/0206116,
title = {Riemann-Roch for quotients and Todd classes of simplicial toric varieties},
author = {Dan Edidin and William Graham},
journal= {arXiv preprint arXiv:math/0206116},
year = {2016}
}
Comments
To appear in the issue of Communications in Algebra dedicated to Steve Kleiman's 60th birthday