Riemann-Roch for quotients and Todd classes of simplicial toric varieties

Details Riemann-Roch for quotients and Todd classes of simplicial toric varieties Riemann-Roch for quotients and Todd classes of simplicial toric varieties

2002-06-11

arxiv.org/abs/math/0206116v2

Mathematics

Algebraic Geometry

To appear in the issue of Communications in Algebra dedicated to Steve Kleiman's 60th birthday

Scientific paper

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.

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