On the Jacobian scheme of a plane curve
We study the Jacobian scheme of a plane algebraic curve at an ordinary singularity, characterizing it through a geometric property. We give an algorithm that gives the analytic type of a double point using the algebraic version of the Mather-Yau Theorem. We give a characterization of plane nodal curves with no infinitely near points through their Tjurina number.
Authors
- Stefano Canino (ORCID: https://orcid.org/0000-0002-1606-4741)
- Alessandro Gimigliano (ORCID: https://orcid.org/0000-0001-9501-8411)
- Monica Idà (ORCID: https://orcid.org/0000-0003-4111-2423)
Institutions
- Politecnico di Torino (IT)
- University of Bologna (IT)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2024-08-15
- DOI
- https://doi.org/10.1080/00927872.2024.2384056
- Citations
- 2
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 2.02
Funders
- Politecnico di Torino
- Università di Bologna