RT Journal Article
T1 Curve singularities with one Puiseux pair and value sets of modules over their local rings
A1 Alberich-Carramiñana, María
A1 Almirón, Patricio
A1 Moyano-Fernández, Julio-José
AB 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.
YR 2021
FD 2021-05
LK https://hdl.handle.net/20.500.14352/7198
UL https://hdl.handle.net/20.500.14352/7198
LA eng
NO Ministerio de Ciencia, Innovación y Universidades
NO Generalitat de Catalunya
NO Universitat Jaume I
DS Docta Complutense
RD 7 abr 2025