67 citations · 211 across the 30 of their papers we have counts for
33 papers
Lecture hall polytopes and Lakshmibai-Seshadri paths
Rocco Chirivì, Martina Costa Cesari, Xin Fang +1
Using a bijection between the lattice points in a lecture hall polytope and Lakshimibai-Seshadri (L-S) paths, we prove the Koszul property of lecture hall polytopes in complete gen…
Higher rank Gelfand-Kapranov-Zelevinsky fans
Rocco Chirivì, Martina Costa Cesari, Xin Fang +1
We define and study the higher rank GKZ-fans of point configurations, serving as the set of discrete and homogeneous quasi-valuations on the homogeneous coordinate ring of the asso…
Combinatorial Seshadri stratifications on normal toric varieties
Rocco Chirivì, Martina Costa Cesari, Xin Fang +1
We apply the theory of Seshadri stratifications to embedded toric varieties associated with a normal lattice polytope . The approach presented here i…
Schubert valuations on Grassmann varieties
Rocco Chirivì, Xin Fang, Peter Littelmann
The goal of the paper is twofold: on one side it provides an order structure on the set of all maximal chains in the Bruhat poset of Schubert varieties in a Grassmann variety; on t…
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory
Rocco Chirivì, Xin Fang, Peter Littelmann
A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties an…
On normal Seshadri stratifications
Rocco Chirivì, Xin Fang, Peter Littelmann
The existence of a Seshadri stratification on an embedded projective variety provides a flat degeneration of the variety to a union of projective toric varieties, called a semi-tor…