%0 Journal Article
%A Alberich-Carramiñana, María
%A Almirón, Patricio
%A Moyano-Fernández, Julio-José
%T Curve singularities with one Puiseux pair and value sets of modules over their local rings
%D 2021
%U https://hdl.handle.net/20.500.14352/7198
%X In this paper we characterize the value set ∆ of the R-modules of the form R+zR for the local ring R associated to a germ ξ of an irreducible plane curve singularity with one Puiseux pair. In the particular case of the module of Kähler differentials attached to ξ , we recover some results of Delorme. From our characterization of ∆ we introduce a proper subset of semimodules over the value semigroup of the ring R. Moreover, we provide a geometric algorithm to construct all possible semimodules in this subset for a given value semigroup.
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