Arithmetic Intersection Theory on Deligne-Mumford Stacks
Algebraic Geometry
2009-05-28 v2
Abstract
The arithmetic Chow groups and their product structure are extended from the category of regular arithmetic varieties to regular Deligne-Mumford stacks over the ring of integers in a number field.
Cite
@article{arxiv.0904.1424,
title = {Arithmetic Intersection Theory on Deligne-Mumford Stacks},
author = {Henri Gillet},
journal= {arXiv preprint arXiv:0904.1424},
year = {2009}
}
Comments
17 pages. Exposition improved. Final version, to appear in the Fields Institute Communications