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math.AG2021
The leading coefficient of Lascoux polynomials
Alessio Borzí, Xiangying Chen, Harshit J. Motwani +2
Lascoux polynomials have been recently introduced to prove polynomiality of the maximum-likelihood degree of linear concentration models. We find the leading coefficient of the Las…
math.CO2021
Weierstrass sets on finite graphs
Alessio Borzì
We study two possible tropical analogues of Weierstrass semigroups on graphs, called rank and functional Weierstrass sets. We prove that on simple graphs, the first is contained in…
math.AC2021
Cyclotomic numerical semigroup polynomials with at most two irreducible factors
Alessio Borzì, Andrés Herrera-Poyatos, Pieter Moree
A numerical semigroup is cyclotomic if its semigroup polynomial is a product of cyclotomic polynomials. The number of irreducible factors of (with multiplicity) is…