151429 20260122161101.0 doi 10.1007/s10801-025-01382-x sideral 143133 ART-2025-143133 eng Alberich-Carramiñana, Maria Curve singularities with one Puiseux pair and value sets of modules over their local rings 2025 Access copy available to the general public Unrestricted In this paper we characterize the value set \Delta of the R-modules of the form R+zR for the local ring R associated to a germ \xi of an irreducible plane curve singularity with one Puiseux pair. In the particular case of the module of Kähler differentials attached to \xi, we recover some results of Delorme. From our characterization of \Delta we introduce a proper subset of semimodules over the value semigroup of the ring R. Moreover, we provide a combinatorial algorithm to construct all possible semimodules in this subset for a given value semigroup. info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C32/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/MICINN/RYC2021-034300-I info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Almirón, Patricio Universidad de Zaragoza Moyano-Fernández, Julio-José 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 61, 20 (2025), [20 pp.] J. algebr. comb. JOURNAL OF ALGEBRAIC COMBINATORICS 0925-9899 273523 http://zaguan.unizar.es/record/151429/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2026-01-22 1440361 http://zaguan.unizar.es/record/151429/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2026-01-22 oai:zaguan.unizar.es:151429 articulos driver 2026-01-22-16:09:41 ARTICLE