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math.AC2022★ 3 cited
Root polytopes, tropical types, and toric edge ideals
Ayah Almousa, Anton Dochtermann, Ben Smith
We consider arrangements of tropical hyperplanes where the apices of the hyperplanes are taken to infinity in certain directions. Such an arrangement defines a decomposition of Euc…
math.AC2017★ 1 cited
Commutative Algebra of Generalised Frobenius Numbers
Madhusudan Manjunath, Ben Smith
We study commutative algebra arising from generalised Frobenius numbers. The -th (generalised) Frobenius number of natural numbers is the largest natural numbe…