The value semigroup of a plane curve singularity with several branches
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.
Authors
- Lorenzo Guerrieri (ORCID: https://orcid.org/0000-0001-6635-4774)
- Marco D’Anna (ORCID: https://orcid.org/0000-0002-9943-5527)
- Nicola Maugeri (ORCID: https://orcid.org/0000-0002-8130-2355)
- F. Delgado (ORCID: https://orcid.org/0000-0002-6705-3866)
- Vincenzo Micale (ORCID: https://orcid.org/0000-0001-6970-5672)
Institutions
- Universidad de Valladolid (ES)
- Jagiellonian University (PL)
- University of Catania (IT)
Publication Details
- Journal
- Rendiconti Lincei Matematica e Applicazioni
- Published
- 2025-05-06
- DOI
- https://doi.org/10.4171/rlm/1048
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00