Видеотека: Ю. Г. Прохоров, Singular Del Pezzo varieties

ВИДЕОТЕКА


Conference on Algebraic Geometry 28 июня 2022 г. 15:40, г. Москва, МИАН, конференц-зал, Zoom

Singular Del Pezzo varieties Yu. G. Prokhorov^ab ^a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow ^b National Research University "Higher School of Economics", Moscow
Аннотация: A del Pezzo variety $X$ is a Fano variety whose anticanonical class has the form $-K_X=(n-1)A$, where $A$ is an ample line bundle and $n$ is the dimension of $X$. This is a higher dimensional analog of the notion of del Pezzo surfaces. I am going to discuss biregular and birational classifications of del Pezzo varieties admitting terminal singularities. The talk is based on a joint work with Alexander Kuznetsov. Язык доклада: английский