A geometric approach to Orlov’s theorem

  title={A geometric approach to Orlov’s theorem},
  author={Ian Shipman},
  journal={Compositio Mathematica},
  pages={1365 - 1389}
  • I. Shipman
  • Published 23 December 2010
  • Mathematics
  • Compositio Mathematica
Abstract A famous theorem of D. Orlov describes the derived bounded category of coherent sheaves on projective hypersurfaces in terms of an algebraic construction called graded matrix factorizations. In this article, I implement a proposal of E. Segal to prove Orlov’s theorem in the Calabi–Yau setting using a globalization of the category of graded matrix factorizations (graded D-branes). Let X⊂ℙ be a projective hypersurface. Segal has already established an equivalence between Orlov’s category… 
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