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math.AG2015
Motifs in Derived Algebraic Geometry
Renaud Gauthier
We formalize the concept of sheaves of sets on a model site by considering variables thereof, or motifs, and we construct functorially defined derived algebraic stacks from them, t…
math.AG2015
Giraud's Theorem and Categories of Representations
Renaud Gauthier
We present an alternate proof of Giraud's Theorem based on the fact that given the conditions on a category E for being a topos, its objects are sheaves by construction. Generalizi…