Obstruction Theory for Objects in Abelian and Derived Categories

DOI10.1081/AGB-200066155zbMath1099.18008arXivmath/0407019MaRDI QIDQ5704510

Wendy Lowen

Publication date: 15 November 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407019

zbMATH Keywords

derived categoriesdeformation theoryobstruction theoryAbelian categories

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Abelian categories, Grothendieck categories (18E10) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (15)

Algebraic deformations and Fourier–Mukai transforms for Calabi–Yau manifolds ⋮ Deformation theory of objects in homotopy and derived categories. I: General theory ⋮ Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes ⋮ \(\star\)-quantizations of Fourier-Mukai transforms ⋮ The Gauss-Manin connection on the periodic cyclic homology ⋮ On deformations of triangulated models ⋮ On compact generation of deformed schemes ⋮ Abelian and derived deformations in the presence of \(\mathbb Z\)-generating geometric helices ⋮ Non-commutative deformations and quasi-coherent modules ⋮ Algebroid prestacks and deformations of ringed spaces ⋮ On incidence between strata of the Hilbert scheme of points on \(\mathbb{P}^{2}\) ⋮ Derived geometry of the first formal neighbourhood of a smooth analytic cycle ⋮ Curve counting via stable pairs in the derived category ⋮ Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes ⋮ Deformation theory of abelian categories

Cites Work

• Small models for chain algebras
• La conjecture de Weil. II
• Toward a definition of moduli of complexes of coherent sheaves on a projective scheme.
• Noncommutative supergeometry, duality and deformations
• Blowing up of non-commutative smooth surfaces
• IDEAL PERTURBATION LEMMA
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• Deformations and derived categories.
• Abstract Hilbert schemes. I

This page was built for publication: Obstruction Theory for Objects in Abelian and Derived Categories