HOMOLOGICAL PROPERTIES OF ASSOCIATIVE ALGEBRAS: THE METHOD OF HELICES
From MaRDI portal
Publication:4315091
DOI10.1070/IM1994v042n02ABEH001536zbMath0847.16010OpenAlexW2077881605MaRDI QIDQ4315091
Alexey Bondal, Alexander Polishchuk
Publication date: 6 December 1994
Published in: Russian Academy of Sciences. Izvestiya Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im1994v042n02abeh001536
deformationsFano varietiesprojective spacesnoncommutative algebrashelicesautomorphisms of two-dimensional cubic curves
Representations of orders, lattices, algebras over commutative rings (16G30) Fano varieties (14J45) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Homological methods in associative algebras (16E99)
Related Items
Filtered deformations of elliptic algebras, Noncommutative versions of some classical birational transformations, Ideal classes of three-dimensional Sklyanin algebras., Linearized topologies and deformation theory, Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures, \(t\)-structures on some local Calabi--Yau varieties, Exceptional collections, and the Néron-Severi lattice for surfaces, Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves, Stability conditions on a non-compact Calabi-Yau threefold, Hilbert squares: derived categories and deformations, Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023, Homological mirror symmetry for Milnor fibers via moduli of A∞$A_\infty$‐structures, Deformation theory of objects in homotopy and derived categories. III: Abelian categories, Coherence of relatively quasi-free algebras, Gamma classes and quantum cohomology, Exceptional collections of line bundles on the Beauville surface, Exceptional sequences in the derived category of a gentle algebra, Hecke symmetries: an overview of Frobenius properties, 𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves, Abelian and derived deformations in the presence of \(\mathbb Z\)-generating geometric helices, Noncommutative curves and noncommutative surfaces, Embeddings of algebras in derived categories of surfaces, Elliptic double affine Hecke algebras, Multilinear forms and graded algebras, Perverse Sheaves of Categories and Non-rationality, Categorical characterization of quadrics, m-Blocks Collections and Castelnuovo-mumford Regularity in multiprojective spaces, Ideal classes of three dimensional Artin-Schelter regular algebras., Helices on del Pezzo surfaces and tilting Calabi-Yau algebras, Geometric collections and Castelnuovo–Mumford regularity, Noncommutative two-tori with real multiplication as noncommutative projective varieties, Non-commutative desingularization of determinantal varieties. I, Local duality for connected \(\mathbb{Z}\)-algebras, Exceptional sequences of invertible sheaves on rational surfaces, Vafa-Witten invariants from exceptional collections, On Weyl groups and Artin groups associated to orbifold projective lines, Triangulated categories of matrix factorizations for regular systems of weights with \(\varepsilon = - 1\), Embedding derived categories of Enriques surfaces in derived categories of Fano varieties, Noncommutative Homological Mirror Functor, Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations, Homotopes of finite-dimensional algebras, Some new categorical invariants, Bridgeland stability conditions on wild Kronecker quivers, Exceptional sequences and Drinfeld double Hall algebras, Kernels for noncommutative projective schemes, Morphisms to noncommutative projective lines, Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes, Hochschild cohomology of noncommutative planes and quadrics, Hochschild cohomology related to graded down-up algebras with weights (1,n), Gamma integral structure for an invertible polynomial of chain type, Braid group actions on derived categories of coherent sheaves., Hilbert schemes and noncommutative deformations of type A Kleinian singularities, Noncommutative cyclic covers and maximal orders on surfaces, Rational Cherednik algebras and Hilbert schemes, Poincaré Duality for Koszul Algebras, Cohomological characterization of vector bundles on multiprojective spaces, Derived categories of Keum's fake projective planes, Quantum deformations of projective three-space