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math.AG2009
Arithmetic Intersection Theory on Deligne-Mumford Stacks
Henri Gillet
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…
math.AG2008★ 1 cited
Motivic Weight Complexes for Arithmetic Varieties
Henri Gillet, Christophe Soulé
We associate weight complexes of (homological) motives, and hence Euler characteristics in the Grothendieck group of motives, to arithmetic varieties and Deligne-Mumford stacks; th…