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Rationality of Fano 3-folds over nonclosed fields

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Yuri Prokhorov
Steklov Mathematical Institute, Moscow/MPIM
Die, 27/08/2019 - 14:00 - 15:00
MPIM Lecture Hall

The rationality problem for smooth Fano threefolds over algebraically closed fields is basically solved.
In this talk I will discuss rationality  of forms of these  Fanos over nonclosed fields of characteristic 0.
I will concentrate on the case where the  Picard number  equals 1.

The talk is based on joint work with Alexander Kuznetsov (in progress).

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