6 papers
The value semigroup of a plane curve singularity with several branches
M. D'Anna, F. Delgado, L. Guerrieri +2
We present a constructive procedure, based on the notion of Apéry set, to obtain the value semigroup of a plane curve singularity from the value semigroup of its blow-up and viceve…
Properties and applications of the Apéry set of good semigroups in
Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale
In this article we discuss some applications of the construction of the Apéry set of a good semigroup in given in the previous paper [Partition of the complement of…
Partition of complement of good ideals and Apéry sets
Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale
Good semigroups form a class of submonoids of containing the value semigroups of curve singularities. In this article, we describe a partition of the complements of…
The tree of good semigroups in and a generalization of the Wilf conjecture
Nicola Maugeri, Giuseppe Zito
In this work, we study good semigroups of introducing the definition of length and genus for these objects. We show how to count the local good semigroup with a fixe…
Embedding dimension of a good semigroup
Nicola Maugeri, Giuseppe Zito
In this paper, we study good semigroups of \mathbb{N}^n, a class of semigroups that contains the value semigroups of algebroid curves with n branches. We give the definition of emb…
An algorithm for computing the Arf closure of an algebroid curve with more than one branch
Nicola Maugeri, Giuseppe Zito
In this paper, we give a fast algorithm for the computation of the Arf closure of an algebroid curve with more than one branch, generalizing an algorithm presented by Arslan and Sa…