BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Variations on the minimal resolution conjecture Boij, Mats


In ongoing joint work with Christine Berkesch and Daniel Erman we study the minimal resolution conjecture up to scaling. For Hilbert functions corresponding to modules of low regularity there always exist corresponding Betti tables with no consecutive cancellations up to scaling. For Hilbert functions of many naturally occurring modules, like coordinate rings of Veronese varieties, the Betti table can be semi-pure, even though the region of Hilbert functions corresponding to such tables is a tiny part of the cone of Hilbert functions.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International