RUS  ENG
Full version
SEMINARS

Iskovskikh Seminar
April 18, 2019 18:00, Moscow, Steklov Mathematical Institute, room 530


Snc degenerations of Fano varieties

K. V. Loginov

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.


© Steklov Math. Inst. of RAS, 2024