Hyperplane sections and derived categories

A. G. Kuznetsov

Izvestiya. Mathematics , Tome 70 (2006) no. 3, pp. 447-547.

Résumé

We give a generalization of the theorem of Bondal and Orlov about the derived categories of coherent sheaves on intersections of quadrics, revealing the relation of this theorem to projective duality. As an application, we describe the derived categories of coherent sheaves on Fano 3-folds of index 1 and degrees 12, 16 and 18.

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