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. (2024). On the Jacobian scheme of a plane curve. COMMUNICATIONS IN ALGEBRA, First on line, 1-11 [10.1080/00927872.2024.2384056].
On the Jacobian scheme of a plane curve
Gimigliano A.;
2024
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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