Cascades of singular rational surfaces of Picard number one

Abstract: I will introduce the notion of cascades of singular rational surfaces of Picard number one, which consists of a sequence of special birational morphisms, and then discuss some applications in the toric case, Fano case, and (log) general type case. The latter application is closely related to algebraic Montgomery-Yang problem, conjectured by Kollár.

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