# A geometric approach to Orlov’s theorem

@article{Shipman2012AGA, title={A geometric approach to Orlov’s theorem}, author={Ian Shipman}, journal={Compositio Mathematica}, year={2012}, volume={148}, pages={1365 - 1389} }

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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