6 citations · 18 across the 19 of their papers we have counts for
22 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…
Local-global divisibility on algebraic tori
Jessica Alessandrì, Rocco Chirivì, Laura Paladino
We give a complete answer to the local-global divisibility problem for algebraic tori. In particular, we prove that given an odd prime , if is an algebraic torus of dimensio…
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…