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arXiv · 1509.09115

Derived categories view on rationality problems

Alexander Kuznetsov
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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. 2015-09-30. Derived categories view on rationality problems. https://doi.org/10.1007/978-3-319-46209-7_3

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