4 citations · 10 across the 9 of their papers we have counts for
9 papers
Linear Degenerate Tropical Flag Varieties
Alessio Borzì, Victoria Schleis
We study linear degenerations of flag varieties from the point of view of tropical geometry. We define the linear degenerate flag Dressian and prove a correspondence between: …
Tropical computations for toric intersection theory in Macaulay2
Alessio Borzì
We present the Macaulay2 package TropicalToric.m2 for toric intersection theory computations using tropical geometry.
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…
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…
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…
Graded algebras with cyclotomic Hilbert series
Alessio Borzì, Alessio D'Alì
Let be a positively graded algebra over a field. We say that is Hilbert-cyclotomic if the numerator of its reduced Hilbert series has all of its roots on the unit circle. S…