Crislaine Kuster

Minimal-Degree Foliations on Cominuscule Grassmannians

Abstract Let X be a cominuscule Grassmannian (equivalently, an irreducible Hermitian symmetric space), and let p be an integer. We compute the minimum l ( p ) such that $$H^0(\Omega _X^p(l(p))) \ne 0.$$ H 0 ( Ω X p ( l ( p ) ) ) ≠ 0 . This allows us to conclude that any codimensi...