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Regular version of the site

Book chapter

Derived Categories View on Rationality Problems

P. 67-104.

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.

In book

Derived Categories View on Rationality Problems
Beauville A., Hassett B., Kuznetsov A. G. et al. Vol. 2172. Switzerland: Springer International Publishing, 2016.