2018/12/21 by Holstein, Julian, Porta, Mauro · 1 citation
#14A20 #14D23 #14G22 #32G13 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.09300
Derived mapping stacks are a fundamental source of examples of derived enhancements of classical moduli problems. For instance, they appear naturally in Gromov-Witten theory and in some branches of geometric representation theory. In this paper, we show that in many cases the mapping stacks construction commutes with the (complex or non-archimedean) analytification functor. Along the way, we establish several properties of the stack of analytic perfect complexes and study some incarnations of analytic Tannaka duality.