On the liftability of the automorphism group of smooth hypersurfaces of the projective space

Pedro Montero (Valparaíso)

01-Jul-2021, 13:00-14:00 (3 years ago)

Abstract: Smooth hypersurfaces are classical objects in algebraic geometry since they are the simplest varieties one can define as they are given by only one equation. As such, they have been intensively studied and their geometry has shaped the development of classic and modern algebraic geometry. In this talk, I will first recall some fundamental results concerning the automorphism group of smooth hypersurfaces of the projective space and then I will present some new results obtained in a joint work with Victor Gonzalez-Aguilera and Alvaro Liendo, which are inspired by the classification groups which faithfully act on smooth cubic and quintic threefolds by Oguiso, Wei and Yu. Finally, I will discuss some perspectives and open problems that arise from this.

algebraic geometrycombinatorics

Audience: researchers in the topic


Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html

Organizers: Alexander Kasprzyk*, Johannes Hofscheier*, Erroxe Etxabarri Alberdi
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