Properties and applications of the Apéry set of good semigroups in $\mathbb{N}^d$

Abstract

In this article we discuss some applications of the construction of the Apéry set of a good semigroup in N d given in [18]. In particular we study: the duality of a symmetric and almost symmetric good semigroup, the Apéry set of non-local good semigroups and the Apéry set of value semigroups of plane curves.