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International Conference "Advances in Algebra and Applications"
June 22, 2022 14:30, Minsk

Singular Del Pezzo varieties

Yu. Prokhorov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow



Abstract: 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.

Language: English

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