The Ap\'ery Set of a Good Semigroup
Commutative Algebra
2019-02-01 v3
Abstract
We study the Ap\'ery set of good subsemigoups of , a class of semigroups containing the value semigroups of curve singularities with two branches. Even if this set in infinite, we show that, for the Ap\'ery set of such semigroups, we can define a partition in "levels" that allows to generalize many properties of the Ap\'ery set of numerical semigroups, i.e. value semigroups of one-branch singularities.
Cite
@article{arxiv.1812.02064,
title = {The Ap\'ery Set of a Good Semigroup},
author = {Marco D'Anna and Lorenzo Guerrieri and Vincenzo Micale},
journal= {arXiv preprint arXiv:1812.02064},
year = {2019}
}
Comments
24 pages, 6 figures