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math.AG2026
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…
math.AG2025
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…
math.AG2024
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…