Universal functors on symmetric quotient stacks of abelian varieties

DOI10.1007/s00029-021-00740-4zbMath1482.14018arXiv1710.08618OpenAlexW2767045149WikidataQ114231874 ScholiaQ114231874MaRDI QIDQ2065452

Ciaran Meachan, Andreas Krug

Publication date: 7 January 2022

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08618

zbMATH Keywords

derived categoriesHilbert schemes of pointsautoequivalencesFourier-Mukai transformsKummer varieties

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Fine and coarse moduli spaces (14D22) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Autoequivalences of derived categories via geometric invariant theory
• On adjunctions for Fourier-Mukai transforms
• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• Derived autoequivalences of generalised Kummer varieties
• Cohomology of the Hilbert scheme of points on a surface with values in representations of tautological bundles
• Mukai flops and \(\mathbb{P}\)-twists
• Noncommutative deformations and flops
• Categories of massless D-branes and del Pezzo surfaces
• On the derived category of the Hilbert scheme of points on an Enriques surface
• \(\mathbb P\)-objects and autoequivalences of derived categories
• Intersection theory on algebraic stacks and on their moduli spaces
• Derived autoequivalences and a weighted Beilinson resolution
• The Mukai pairing. I: A categorical approach
• Some remarks on tautological sheaves on Hilbert schemes of points on a surface
• Equivariant sheaves and functors
• Fourier-Mukai transforms for quotient varieties
• Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
• Derived category automorphisms from mirror symmetry
• Braid group actions on derived categories of coherent sheaves.
• Calabi-Yau and fractional Calabi-Yau categories
• Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups
• Spherical DG-functors
• Equivariant autoequivalences for finite group actions
• The McKay correspondence as an equivalence of derived categories
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Flops and about: a guide
• Equivalences of equivariant derived categories
• New derived symmetries of some hyperkähler varieties
• Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences
• On Derived Autoequivalences of Hilbert Schemes and Generalized Kummer Varieties
• Spherical functors on the Kummer surface
• ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
• Varieties with $\mathbb {P}$-units
• Perfect complexes on algebraic stacks
• Derived categories of resolutions of cyclic quotient singularities
• A note on spherical functors
• $\mathbb{P}$-functor versions of the Nakajima operators