Derived categories view on rationality problems

Published 30 Sep 2015 in math.AG | (1509.09115v1)

Abstract: We discuss a relation between the structure of derived categories of smooth projective varieties and their birational properties. We suggest a possible definition of a birational invariant, the derived category analogue of the intermediate Jacobian, and discuss its possible applications to the geometry of prime Fano threefolds and cubic fourfolds.

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Alexander Kuznetsov

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