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

Dan Edidin; William Graham

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arXiv · math/0206116

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

Dan Edidin·William Graham

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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.

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BibTeX RIS

Dan Edidin, William Graham. 2003-04-10. Riemann-Roch for quotients and Todd classes of simplicial toric varieties. https://arxiv.org/abs/math/0206116

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