From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies

Abstract

The Hodge algebra structures on the homogeneous coordinate rings of Grassmann varieties provide semi-toric degenerations of these varieties. In this paper we construct these semi-toric degenerations using quasi-valuations and triangulations of Newton-Okounkov bodies.

24 pages, to appear in Vinberg's volume of Trans. Moscow Math. Soc