2004/12/14 by Jacob Lurie, Lurie, Jacob · 2 citations
Mathematics · #14A20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14A20
paper · pdf · doi:10.48550/arxiv.math/0412266
14 pages; preliminary version
arxiv created 2005/03/23 · arxiv updated 2009/12/01
We show that, under appropriate hypothesis, the groupoid of maps from S to an an algebraic stack X can be identified with a category of tensor functors from coherent sheaves on X to coherent sheaves on S. As an application, we show that if S is a proper variety over the field of complex numbers, then every ``analytic'' map from S to X is ``algebraic''.