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BIRS Workshop Lecture Videos

Rationality and derived categories of some Fano threefolds over non-closed fields Kuznetsov, Alexander


In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fano threefolds over non-closed fields of characteristic zero such that their geometric Picard number is one. I will report on similar results for Fano threefolds whose geometric Picard number is higher but the Picard number over the base field is one. I will also describe the derived categories of these varieties over the base field and discuss the relation between their structure and rationality properties.

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