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Mathematics > Algebraic Geometry

arXiv:1812.09300 (math)
[Submitted on 21 Dec 2018]

Title:Analytification of mapping stacks

Authors:Julian Holstein, Mauro Porta
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Abstract: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.
Comments: 58 pages
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14D23, 14G22, 32G13, 14A20
Cite as: arXiv:1812.09300 [math.AG]
  (or arXiv:1812.09300v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1812.09300

Submission history

From: Julian Holstein [view email]
[v1] Fri, 21 Dec 2018 18:19:48 UTC (59 KB)
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