The derived deformation theory of a point
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Publication:2114182
DOI10.1007/S00209-021-02892-7zbMath1492.14005arXiv2009.01590OpenAlexW3213329370MaRDI QIDQ2114182
Publication date: 15 March 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.01590
Noncommutative algebraic geometry (14A22) Infinitesimal methods in algebraic geometry (14B10) Homotopical algebra, Quillen model categories, derivators (18N40) Formal neighborhoods in algebraic geometry (14B20) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
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Cites Work
- Relative singularity categories. I: Auslander resolutions.
- The cup product on Hochschild cohomology via twisting cochains and applications to Koszul rings
- Derived equivalences from mutations of quivers with potential
- Deformation theory of objects in homotopy and derived categories. III: Abelian categories
- Three-dimensional flops and noncommutative rings
- Representability theorems for presheaves of spectra
- Noncommutative deformations and flops
- The localization of spectra with respect to homology
- Duality in algebra and topology
- Deformation theory of objects in homotopy and derived categories. I: General theory
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- The homotopy theory of dg-categories and derived Morita theory
- Koszul equivalences in \(A_\infty\)-algebras.
- The \(A_\infty\) deformation theory of a point and the derived categories of local Calabi-Yaus
- Deformation theory of objects in homotopy and derived categories. II: Pro-representability of the deformation functor
- Unifying derived deformation theories
- Generalized spectral categories, topological Hochschild homology and trace maps
- Cech theory: Its past, present, and future
- Derived functors of \(I\)-adic completion and local homology
- Exotic convergence of the Eilenberg-Moore spectral sequence
- Cech and Steenrod homotopy theories with applications to geometric topology
- \(K(n)\)-local duality for finite groups and groupoids
- Noncommutative deformations of modules
- Derived localisation of algebras and modules
- A Quillen model structure on the category of dg categories
- Cosimplicial resolutions and homotopy spectral sequences in model categories
- Equivalences of monoidal model categories
- Duality and Pro-Spectra
- MC elements in pronilpotent DG Lie algebras
- On the homology of completion and torsion
- Completion by derived double centralizer
- Differential graded versus simplicial categories
- Completion and torsion over commutative DG rings
- Six model structures for DG-modules over DGAs: model category theory in homological action.
- Derived deformations of Artin stacks
- Hochschild (co)homology of Koszul dual pairs
- Homotopical algebra
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- The relationship between the diagonal and the bar constructions on a bisimplicial set
- Singularity categories via the derived quotient
- Complete modules and torsion modules
- Categorical Homotopy Theory
- Lectures on DG-Categories
- Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
- Derived moduli of schemes and sheaves
- Representability of derived stacks
- A model category structure on the category of simplicial categories
- On a certain generalization of spherical twists
- ON THE HOMOLOGY THEORY OF FIBRE SPACES
- On 𝑃𝐿 de Rham theory and rational homotopy type
- Homological algebra of homotopy algebras
- On multi-pointed non-commutative deformations and Calabi–Yau threefolds
- Properadic Homotopical Calculus
- Review of deformation theory II: a homotopical approach
- Derived Categories
- The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
- Contractions and deformations
- Categories and Sheaves
- Higher Topos Theory (AM-170)
- Algebraic Operads
- The deformation theory of representations of fundamental groups of compact Kähler manifolds
- Introduction to \(A\)-infinity algebras and modules
- DG coalgebras as formal stacks
- On \(t\)-structures and torsion theories induced by compact objects
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