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Regular version of the site

Igor Krylov

Igor Krylov (The University of Edinburgh, Max Planck Institute) visited Laboratory of Algebraic Geometry by the invitation of the research fellow K.Shramov

February 19th 2016 he gave a talk «Classification and birational rigidity of del Pezzo fibrations with an action of the Klein simple group» at the weekly seminar of the Laboratory.

Abstract: Let G be a finite subgroup of Cremona group. Study of embeddings of G into the Cremona group is equivalent to study of G-birational geometry of rational G-Mori fiber spaces. This approach works particularly well for simple subgroups. I prove that any del Pezzo fibration over projective line with an action of the Klein simple group is either P^2xP^1 or a certain del Pezzo fibration X_n of degree 2. Variety X_n has 2n quotient singularities of the type 1/2(1,1,1). I prove that varieties X_n are rigid, in particular not rational, for n>2.

Announcement

February 8th 2017 he gave a talk at the seminar of the Laboratory.





 

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