Orlov's equivalence and maximal Cohen-Macaulay modules over the cone of an elliptic curve

DOI10.1002/mana.201300106zbMath1329.14034arXiv1302.1383OpenAlexW2963462469MaRDI QIDQ2929413

Lennart Galinat

Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1383

zbMATH Keywords

elliptic curvematrix factorizationMCM modulesOrlov's equivalence

Mathematics Subject Classification ID

Cohen-Macaulay modules in associative algebras (16G50) Elliptic curves (14H52)

Related Items (5)

A positive proportion of cubic curves over Q admit linear determinantal representations ⋮ Unnamed Item ⋮ Betti tables of MCM modules over the cone of a plane cubic ⋮ On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree ⋮ An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Faisceaux algébriques cohérents
• Reflexive modules on minimally elliptic singularities
• Localization of triangulated categories and derived categories
• Grothendieck duality and base change
• Orlov spectra: bounds and gaps
• Braid group actions on derived categories of coherent sheaves.
• Maximal Cohen-Macaulay modules over the cone of an elliptic curve
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• Vector Bundles Over an Elliptic Curve
• The Fundamental Module of a Normal Local Domain of Dimension 2
• The Category of Graded Modules.

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