Hyperplane sections and derived categories

Details Hyperplane sections and derived categories Hyperplane sections and derived categories

2005-03-30

arxiv.org/abs/math/0503700v1

Mathematics

Algebraic Geometry

76 pages

Scientific paper

We give a generalization of the theorem of Bondal and Orlov about the derived
categories of coherent sheaves on intersections of quadrics revealing its
relation 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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