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Arithmetic Intersection Theory on Deligne-Mumford Stacks

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Author(s): Henri Gillet

Publication date Created: 08 April 2009

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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.

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Most cited references 8

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The irreducibility of the space of curves of given genus

P. Deligne, D B Mumford (1969)

0 comments Cited 262 times – based on 0 reviews      Review now

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Intersection theory on algebraic stacks and on their moduli spaces

Angelo Vistoli (1989)

0 comments Cited 123 times – based on 0 reviews      Review now

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Algebraic $K$-theory and etale cohomology

R. Thomason (1985)

0 comments Cited 39 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 08 April 2009

Publication date Updated: 2009-05-28

Article

ArXiV ID: 0904.1424

SO-VID: 0cc84dda-1e06-4c1a-a077-d3a577ada2ed

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 14G40

Comments 17 pages. Exposition improved. Final version, to appear in the Fields Institute Communications

Categories math.AG

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