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.
Canino, S., Gimigliano, A., Idà, M. (2025). On the Jacobian scheme of a plane curve. COMMUNICATIONS IN ALGEBRA, 53(2), 582-592 [10.1080/00927872.2024.2384056].
On the Jacobian scheme of a plane curve
Gimigliano A.;
2025
Abstract
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.File in questo prodotto:
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9926 (3).pdf
Open Access dal 15/08/2025
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Postprint / Author's Accepted Manuscript (AAM) - versione accettata per la pubblicazione dopo la peer-review
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Licenza per Accesso Aperto. Creative Commons Attribuzione - Non commerciale (CCBYNC)
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