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math.AT1999
A Giraud-type characterization of the simplicial categories associated to closed model categories as -pretopoi
Carlos Simpson
Theorem (after Giraud, SGA 4): Suppose is a simplicial category. The following conditions are equivalent: (i) There is a cofibrantly generated closed model category such th…
math.AG1999
Algebraic aspects of higher nonabelian Hodge theory
Carlos Simpson
We look more closely at the higher nonabelian de Rham cohomology of a smooth projective variety or family of varieties that had been defined in some previous papers. We formalize u…