Good moduli space for constructible sheaves and Stokes functors

2025/10/27 by Lampetti, Enrico
#14A30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.23850

Abstract

In this paper we give construct good moduli spaces for constructible sheaves and Stokes functors. Derived enhancement of such are also considered.

Citations

• Good moduli for moduli of objects
• The derived moduli of Stokes data
• Cohomological integrality for symmetric quotient stacks
• Exodromy beyond conicality
• Homotopy theory of Stokes data
• Good Moduli Spaces in Derived Algebraic Geometry
• Moduli of objects in finite length abelian categories
• BPS Lie algebras for totally negative 2-Calabi-Yau categories and nonabelian Hodge theory for stacks
• Topological exodromy with coefficients
• The reductive Borel-Serre compactification as a model for unstable algebraic K-theory
• Purity and 2-Calabi-Yau categories
• The étale local structure of algebraic stacks
• Arithmetic and representation theory of wild character varieties
• Geometry of moduli spaces of meromorphic connections on curves, Stokes\n data, wild nonabelian Hodge theory, hyperkahler manifolds, isomonodromic\n deformations, Painleve equations, and relations to Lie theory
• Good moduli spaces for Artin stacks
• Wild Harmonic Bundles and Wild Pure Twistor D-modules
• Exit paths and constructible stacks
• Tame stacks in positive characteristic
• Moduli of objects in dg-categories
• Homotopical Algebraic Geometry II: geometric stacks and applications
• Wild nonabelian Hodge theory on curves
• Quotients by Groupoids

Related

• Good moduli for moduli of objects
• Good Moduli Spaces in Derived Algebraic Geometry
• Good moduli spaces for Artin stacks
• Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface
• Quasimaps to moduli spaces of sheaves and related topics