Equivariant intersection theory

Abstract

This is a revised and shortened version of our paper "Equivariant intersection theory" (alg-geom/9603008). In particular, the sections on Riemann-Roch and localization are omitted. They will appear in separate papers, at which time alg-geom/9603008 will become obsolete. We have intsead added a section of examples, and have include a calculation of the integral Chow ring of the mdouli stack of elliptic curves.

Latex 40pp. In the current version, we have adapted the language of algebraic spaces. This avoids any hypothesis on the group action. The paper is otherwise (essentially) unchanged. This version will appear in Inventiones

References in corpus (3)

• Quotients by Groupoids
• Characteristic classes in the Chow ring
• The Chow Ring of the Hilbert Scheme of Rational Normal Curves

Cited by in corpus (8)

• Recursive Formulas for the Characteristic Numbers of Rational Plane Curves
• Equivariant Todd Classes for Toric Varieties
• K-theory and cohomology of algebraic stacks: Riemann-Roch theorems, D-modules and GAGA theorems
• The Chow Ring of the Non-Linear Grassmannian
• The incidence class and the hierarchy of orbits
• The Chow Ring of the Hilbert Scheme of Rational Normal Curves
• The Equivariant Chow Ring of SO(4)
• A presentation for the Chow ring A^*(\bar{M}_{0,2}(P^1,2))