G. Failla

collaborators

3 papers

math.CO2019

A generalization of Wilf's conjecture for Generalized Numerical Semigroups

Carmelo Cisto, Michael DiPasquale, Gioia Failla +3

A numerical semigroup is a submonoid of $N$ with finite complement in $N$ . A generalized numerical semigroup is a submonoid of $N^{d}$ with finite compleme…

math.CO2019

Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element

Carmelo Cisto, Gioia Failla, Chris Peterson +1

Let $N^{d}$ be the $d$ -dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid $S \subseteq N^{d}$ such that $H(S)=\mathbb{N}^…

math.AG2018

On the Weak Lefschetz Property for Vector Bundles on $P^{2}$

Gioia Failla, Zachary Flores, Chris Peterson

Let $R = K [x, y, z]$ be a standard graded polynomial ring where $K$ is an algebraically closed field of characteristic zero. Let $M = \oplus_{j} M_{j}$ be a finite length g…

A generalization of Wilf's conjecture for Generalized Numerical Semigroups

Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element

On the Weak Lefschetz Property for Vector Bundles on P2

On the Weak Lefschetz Property for Vector Bundles on $P^{2}$