Abstract
AbstractWe study the relation between the type of a double point of a plane curve and the curvilinear 0-dimensional subschemes of the curve at the point. An Algorithm related to a classical procedure for the study of double points via osculating curves is described and proved. Eventually we look for a way to create examples of rational plane curves with given singularities $$A_s$$
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Funder
Alma Mater Studiorum - Università di Bologna
Publisher
Springer Science and Business Media LLC
Reference7 articles.
1. Bernardi, A., Gimigliano, A., Idà, M.: Singularities of plane rational curves via projections. J. Symb. Comput. 86, 189–212 (2018)
2. Campedelli, L.: In: Lezioni di Geometria (Ed.) CEDAM, Padova, (1970)
3. Abbott, J., Bigatti, A.M., Robbiano, L.: CoCoA: A system for doing Computations in Commutative Algebra. Available at http://cocoa.dima.unige.it
4. Hartshorne, R.: Algebraic geometry, Graduate Texts in Mathematics, No. 52. Springer-Verlag, New York-Heidelberg, (1977)
5. Kleimann, S., Piene, R.: Enumerating singular curves on surfaces, In: Algebraic Geometry: Hirzebruch 70 (Warsaw, 1998), volume 241 of Contemp. Math., 209-238. American Mathematical Society, Providence, RI, (1999)
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