Zobrazeno 1 - 10
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pro vyhledávání: '"Borzì, Alessio"'
Autor:
Borzì, Alessio
We characterize the realizability of a quotient of matroids, over an infinite field $K$, in terms of the realizability over $K$ of a single matroid associated to it, called the Higgs major. This result extends to realizability of flag matroids. Furth
Externí odkaz:
http://arxiv.org/abs/2403.03615
Autor:
Borzì, Alessio, Schleis, Victoria
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: $(a)$ points in the linear degenerate flag Dressian, $(b)$ linear degenerat
Externí odkaz:
http://arxiv.org/abs/2308.04193
Autor:
Borzì, Alessio
Publikováno v:
J. Softw. Alg. Geom. 14 (2024) 19-29
We present the Macaulay2 package TropicalToric.m2 for toric intersection theory computations using tropical geometry.
Externí odkaz:
http://arxiv.org/abs/2209.13414
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 Lascoux polynomials (type C) and their generalizations to the case of gen
Externí odkaz:
http://arxiv.org/abs/2106.13104
Autor:
Borzì, Alessio
Publikováno v:
Electronic Journal of Combinatorics Volume 29 Issue 1 (2022), Paper No. 1.4, 13 pp
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 the second. We completely characterize the subsets of N arising as a
Externí odkaz:
http://arxiv.org/abs/2104.07121
Publikováno v:
Semigroup Forum 103, 812-828 (2021)
A numerical semigroup $S$ is cyclotomic if its semigroup polynomial $P_S$ is a product of cyclotomic polynomials. The number of irreducible factors of $P_S$ (with multiplicity) is the polynomial length $\ell(S)$ of $S.$ We show that a cyclotomic nume
Externí odkaz:
http://arxiv.org/abs/2101.08823
Autor:
Borzì, Alessio, D'Alì, Alessio
Publikováno v:
Journal of Pure and Applied Algebra 225 (2021), no. 12, 106764, 9 pp
Let $R$ be a positively graded algebra over a field. We say that $R$ is Hilbert-cyclotomic if the numerator of its reduced Hilbert series has all of its roots on the unit circle. Such rings arise naturally in commutative algebra, numerical semigroup
Externí odkaz:
http://arxiv.org/abs/2005.09708
Autor:
Borzì, Alessio, Martino, Ivan
In this work, we study matroids over a domain and several classical combinatorial and algebraic invariants related. We define their Grothendieck-Tutte polynomial $T_{\mathcal{M}}(x,y)$, extending the definition given by Fink and Moci in 2016, and we
Externí odkaz:
http://arxiv.org/abs/1909.00332
Autor:
Borzì, Alessio
Publikováno v:
Numerical Semigroups, Springer INdAM Series (2020)
We develop the theory of patterns on numerical semigroups in terms of the admissibility degree. We prove that the Arf pattern induces every strongly admissible pattern, and determine all patterns equivalent to the Arf pattern. We study patterns on th
Externí odkaz:
http://arxiv.org/abs/1901.10571
Publikováno v:
In Discrete Mathematics February 2023 346(2)
