On certain families of sparse numerical semigroups with Frobenius number even

• Date: 2019
• Main Authors: Tizziotti, Guilherme, Villanueva, Juan
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: Arf numerical semigroup; numerical semigroup; sparse numerical semigroup; Weierstrass semigroup; weight of numerical semigroup; 20M10; 20M14; 14H55
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/510
• Journal Title: Algebra and Discrete Mathematics

This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we also study the realization of the elements on these families as Weierstrass semig...