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International conference ''Algebra, algebraic geometry and number theory'' dedicated to the memory of academician Igor Rostislavovich Shafarevich
June 14, 2018 11:00–12:00, Moscow, Steklov Mathematical Institute of RAS, 8, Gubkina str., Conference hall
 


Automorphism groups of cubic surfaces in arbitrary characteristic

A. Duncan
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A. Duncan


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Abstract: I discuss the possible automorphism groups of a smooth cubic surface over an algebraically closed field of arbitrary characteristic. While the classifications wildly different in bad characteristics, it turns out that the differences can all be explained by a few small geometric observations. We will also completely characterize which surfaces and automorphism groups in positive characteristic can be lifted to characteristic $0$.

Language: English

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