The parents of Weierstrass semigroups and non-Weierstrass semigroups (Algebra and Computer Science)
Jiryo Komeda · Institutional Repositories DataBase (IRDB) · 2014
We consider the map $p$ between the sets of numerical semigroups sending a numerical semigroup to the one whose genus is decreased by 1, We prove that the semigrop $p(H)$ , which is called the parent of $H$ , of a Weierstrass (resp.non-Weierstrass) numerical semigroup $H$ is Weierstrass(resp.non-Weierstrass) in some cases.