• DOI:10.1002/MANA.201300106
Corpus ID: 119123170

Orlov's Equivalence and Maximal Cohen-Macaulay Modules over the Cone of an Elliptic Curve

@article{Galinat2013OrlovsEA,
  title={Orlov's Equivalence and Maximal Cohen-Macaulay Modules over the Cone of an Elliptic Curve},
  author={Lennart Galinat},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}

• Lennart Galinat
• Published 2013
• Mathematics
• arXiv: Algebraic Geometry

We describe a method for doing computations with Orlov's equivalence between the bounded derived category of certain hypersurfaces and the stable category of graded matrix factorisations of the polynomials describing these hypersurfaces. In the case of a smooth elliptic curve over an algebraically closed field we describe the indecomposable graded matrix factorisations of rank one. Since every indecomposable Maximal Cohen-Macaulay module over the completion of a smooth cubic curve is gradable… Expand

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