Deformations of polystable sheaves on surfaces: quadraticity implies formality
From MaRDI portal
Publication:5086244
zbMath1502.14039arXiv1902.06486MaRDI QIDQ5086244
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
Publication date: 1 July 2022
Full work available at URL: https://arxiv.org/abs/1902.06486
deformation theoryformalitydifferential graded Lie algebras\(L_{\infty}\)-algebraspolystable sheaves
Graded rings and modules (associative rings and algebras) (16W50) Formal methods and deformations in algebraic geometry (14D15) Homotopical algebra, Quillen model categories, derivators (18N40) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves
- Homological perturbation theory for algebras over operads
- Relative homological algebra in the category of quasi-coherent sheaves.
- The homotopy invariance of the Kuranishi space
- Unifying derived deformation theories
- Moduli of stable sheaves. II
- Algebraic models of local period maps and Yukawa algebras
- Fourier-Mukai duality for \(K3\) surfaces via Bridgeland stability condition
- Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties
- On some formality criteria for DG-Lie algebras
- Local structure of Brill-Noether strata in the moduli space of flat stable bundles
- Ein Beweis des Grauertschen Bildgarbensatzes nach Ideen von B. Malgrange
- Lie groups. An approach through invariants and representations
- Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
- Cosimplicial DGLAs in Deformation Theory
- On the Deformation of Algebra Morphisms and Diagrams
- Descent of Deligne groupoids
- Formal solution of the master equation via HPT and deformation theory
- Strongly homotopy lie algebras
- Formality conjecture for minimal surfaces of Kodaira dimension 0
- On Deformations of Pairs (Manifold, Coherent Sheaf)
- Formality conjecture for K3 surfaces
- A Note on Formality and Singularities of Moduli Spaces
- Cohomology and deformations of algebraic structures
- Functors of Artin Rings
- The deformation theory of representations of fundamental groups of compact Kähler manifolds
- DG coalgebras as formal stacks
This page was built for publication: Deformations of polystable sheaves on surfaces: quadraticity implies formality