000151429 001__ 151429
000151429 005__ 20251017144652.0
000151429 0247_ $$2doi$$a10.1007/s10801-025-01382-x
000151429 0248_ $$2sideral$$a143133
000151429 037__ $$aART-2025-143133
000151429 041__ $$aeng
000151429 100__ $$aAlberich-Carramiñana, Maria
000151429 245__ $$aCurve singularities with one Puiseux pair and value sets of modules over their local rings
000151429 260__ $$c2025
000151429 5060_ $$aAccess copy available to the general public$$fUnrestricted
000151429 5203_ $$aIn 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.
000151429 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C32/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/MICINN/RYC2021-034300-I
000151429 540__ $$9info:eu-repo/semantics/embargoedAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
000151429 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000151429 700__ $$aAlmirón, Patricio$$uUniversidad de Zaragoza
000151429 700__ $$aMoyano-Fernández, Julio-José
000151429 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000151429 773__ $$g61, 20 (2025), [20 pp.]$$pJ. algebr. comb.$$tJOURNAL OF ALGEBRAIC COMBINATORICS$$x0925-9899
000151429 8564_ $$s273523$$uhttps://zaguan.unizar.es/record/151429/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2026-01-22
000151429 8564_ $$s1440361$$uhttps://zaguan.unizar.es/record/151429/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2026-01-22
000151429 909CO $$ooai:zaguan.unizar.es:151429$$particulos$$pdriver
000151429 951__ $$a2025-10-17-14:36:47
000151429 980__ $$aARTICLE