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Nodal curves in $\mathbb{P}_{3}(\mathbb{C})$

Edoardo Ballico, Paolo Oliverio (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Siano $d$ , $g$ , $t$ interi con $0\leq t\leq g$ ; se esiste in $\mathbb{P}_{3}(\mathbb{C})$ una curva connessa, non singolare di grado $d$ e genere $g$ , allora esiste in $\mathbb{P}_{3}(\mathbb{C})$ una curva irriducibile di grado $d$ , genere aritmetico $g$ e $t$ nodi.

Nodal deformations of singularities.

Jorge A. González-Ramírez (2002)

Revista Matemática Complutense

In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.

Nœuds algébriques

Lê Dũng Tráng (1973)

Annales de l'institut Fourier

Nous donnons un résumé des principaux résultats récents obtenus sur les nœuds algébriques.

Normal forms and moduli spaces of curve singularities with semigroup $〈 2 p, 2 q, 2 p q + d 〉$

Ignacio Luengo, Gerhard Pfister (1990)

Compositio Mathematica

Note sur les courbes planes d’ordre $n$ à point multiple d’ordre $n - 1$

B. Niewenglowski (1876)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Displaying 1 – 5 of 5

Nodal curves in ℙ 3 ⁢ ( ℂ )

Nodal deformations of singularities.

Nœuds algébriques

Normal forms and moduli spaces of curve singularities with semigroup 〈 2 p , 2 q , 2 p q + d 〉

Note sur les courbes planes d’ordre n à point multiple d’ordre n - 1

Currently displaying 1 – 5 of 5

Nodal curves in $\mathbb{P}_{3}(\mathbb{C})$

Normal forms and moduli spaces of curve singularities with semigroup $〈 2 p, 2 q, 2 p q + d 〉$

Note sur les courbes planes d’ordre $n$ à point multiple d’ordre $n - 1$