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Iskovskikh Seminar
November 6, 2014 18:00, Moscow, Steklov Mathematical Institute, room 530


Weak approximation and rationally connected varieties

D. O. Degtyarev

National Research University "Higher School of Economics", Moscow

Abstract: I will talk about some remarkable approximation properties of varieties over function fields of complex curves. We will discuss general results about weak approximation of rationally connected varieties at places of good reduction. The main technical challenge is the places of bad reduction, i.e. singular fibers of a model. We shall survey situations where the fibers can be successfully analyzed, or where the global geometry ensures weak approximation.


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