Kristian Ranestad (UiO): A Betti stratification of quartenary quartics

A graded Artinian Gorenstein ring A is a quotient of a polynomial ring S with the apolar ideal of a homogeneous form. The Betti numbers of the resolution of A as an S-module are invariants to the homogeneous form. In joint work with Michal and Gregorz Kapustka, Hal Schenck, Mike Stillman and Beihui Yuan, we use these Betti numbers to describe a stratification of the space of quartics in four variables.

Et bilde av Kristian Ranestad
Published Aug. 16, 2021 8:53 PM - Last modified Aug. 24, 2021 1:26 PM