Work

The value semigroup of a plane curve singularity with several branches

Year: 2025

Type: article

Abstract: We present a constructive procedure, based on the notion of Apéry set, to obtain the value semigroup of a plane curve singularity from the value semigroup of its blow-up and vice-versa. In particular, we give a blow-down process that allows us to reconstruct a plane algebroid curve form its blow-up, even if it is not local. Then, we characterize numerically all the possible multiplicity trees of plane curve singularities, obtaining in this way a constructive description of all their value semigroups.

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1048

Authors: Marco D’Anna, Félix Delgado de la Mata, Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale

Institutions: University of Catania, Universidad de Valladolid, Jagiellonian University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410131098

FWCI:

Cites:

Cited by:

Related to: 10