4 papers · 1 filter
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, where the rank one cases coincide with the usual GKZ-fans. A point in a higher rank GKZ-fan is then used to co…
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…
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…