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Iskovskikh Seminar
April 18, 2019 18:00, Moscow, Steklov Mathematical Institute, room 530
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Snc degenerations of Fano varieties
K. V. Loginov |
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Abstract:
Consider a family of Fano varieties over a curve germ such that the
central fiber is a simple normal crossing divisor (snc). Then under
the minimality conditions (anti-canonical divisor class of the total
space is relatively ample) the central fibers of such degenerations
were classified in dimension 2 (Fujita). We will obtain this
classification using the three-dimensional Minimal Model Program. Then
we will discuss possible generalisations to dimension 3.
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