Speaker
Description
Unprojection is a theory introduced by Miles Reid which constructs more complicated Gorenstein rings starting from simpler data. This theory has found many applications in algebraic geometry and also in algebraic combinatorics. Tom and Jerry are two formats of unprojection defined and named by Miles Reid which lead to the construction of codimension 4 Gorenstein rings starting from codimension 3 Gorenstein rings. In this talk, we introduce a new unprojection format which we call Tom & Jerry triples. This format, generalizes the Tom and Jerry unprojection formats and constructs codimension 6 Gorenstein rings starting from codimension 3 Gorenstein rings. As an application, we will construct two families of codimension 6 Fano 3-folds in weighted projective space which appear in the Graded Ring Database.
