This video contains two seminars, and this one starts at 39 minutes.
While Gorenstein codimension 3 varieties are well understood from Buchsbaum-Eisenbud’s structure theorem, the picture is less clear for codimension 4. In this talk we describe some constructions of stable curves corresponding to the possible Betti tables for Artin Gorenstein algebras of regularity and codimension four, as outlined in a paper of Schenck, Stillman and Yuan. These constructions use techniques from liaison theory and the Tom and Jerry formats of Brown and Reid.
This video is part of the 3CinG annual meeting that took place in Warwick in September 2021.
