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math.AG2000
Affine stacks (Champs affines)
B. Toen
This is an expended and revised version of the preprint "Schematization of homotopy types". The purpose of this work is to introduce a notion of \emph{affine stacks}, which is a ho…
math.AT2000
Toward a Galoisian interpretation of homotopy theory
B. Toen
Given any pointed CW complex (X,x), it is well known that the fondamental group of X pointed at x is naturally isomorphic to the automorphism group of the functor which associates…
math.AG2000
On motives for Deligne-Mumford stacks
B. Toen
We define and compare two different definitions of Chow motives for Deligne-Mumford stacks, associated with two definitions of Chow rings. The main result we prove is that both cat…