Tom & Jerry triples and the 4-intersection unprojection formats

Abstract: Unprojection is a theory in Commutative Algebra due to Miles Reid which constructs and analyses more complicated rings from simpler ones. The talk will be about two new formats of unprojection which we call Tom & Jerry triples and 4-intersection format respectively. The motivation is to construct codimension 6 Gorenstein rings starting from codimensions 3 and 2 respectively. As an application we will construct three families of codimension 6 Fano 3-folds in weighted projective space which appear in the Graded Ring Database.

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