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Iskovskikh Seminar
November 26, 2015 18:00, Moscow, Steklov Mathematical Institute, room 540

Rationality in families of varieties

A. Avilov

National Research University "Higher School of Economics" (HSE), Moscow

Abstract: Let $X\to B$ be a family of varieties of same dimension with some restrictions on singularities. Let us consider a set of points $Rat(X)\subset B$ such that corresponding fibers are rational. We will see some properties of such set in some particular cases. This talk will be based on papers by de Fernex, Fusi, Totaro and Voisin.