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math.CO2026
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…
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…