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20122024
most citedIrreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element

14 citations · 19 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2024★ 2 cited

Generalized Numerical semigroups up to isomorphism

Carmelo Cisto, Gioia Failla, Francesco Navarra

A generalized numerical semigroup is a submonoid of with finite complement in it. We characterize isomorphisms between these monoids in terms of permutation of c…

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 with finite complement in . A generalized numerical semigroup is a submonoid of with finite compleme…

math.CO2019★ 14 cited

Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element

Carmelo Cisto, Gioia Failla, Chris Peterson +1

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

math.AG2018★ 1 cited

On the Weak Lefschetz Property for Vector Bundles on

Gioia Failla, Zachary Flores, Chris Peterson

Let be a standard graded polynomial ring where is an algebraically closed field of characteristic zero. Let be a finite length g…

math.AG2012★ 2 cited

Fixed Loci of the Anticanonical Complete Linear Systems of Anticanonical Rational Surfaces

Jesús Adrian Cerda Rodríguez, Gioia Failla, Mustapha Lahyane +1

We determine the fixed locus of the anticanonical complete linear system of a given anticanonical rational surface. The case of a geometrically ruled rational surface is fully stud…