2026-06-28T10:09:16Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/71982023-08-11T07:46:59Zcom_20.500.14352_14col_20.500.14352_15

Curve singularities with one Puiseux pair and value sets of modules over their local rings Alberich-Carramiñana, María Almirón, Patricio Moyano-Fernández, Julio-José 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. 2023-06-17T08:27:51Z 2023-06-17T08:27:51Z 2021-05 journal article https://hdl.handle.net/20.500.14352/7198 eng MTM2015- 69135-P; MTM2016-76868- C2-1-P; PGC2018-096446-B-C22 2017SGR-932; MDM-2014-0445 UJI-B2018-10 open access