26 citations · 61 across the 14 of their papers we have counts for
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math.AG2001
Algebraic Geometry over model categories (a general approach to derived algebraic geometry)
Bertrand Toen, Gabriele Vezzosi
For a (semi-)model category M, we define a notion of a ''homotopy'' Grothendieck topology on M, as well as its associated model category of stacks. We use this to define a notion o…
math.AG2001
Higher algebraic K-theory for actions of diagonalizable groups
Gabriele Vezzosi, Angelo Vistoli
We study the K-theory of actions of diagonalizable group schemes on noetherian regular separated algebraic spaces: our main result shows how to reconstruct the K-theory ring of suc…