×

zbMATH — the first resource for mathematics

Courbes gauches ayant beaucoup de points multiples réels. (Space curves with many multiple real points). (French. Abridged English version) Zbl 0783.14012
In this paper the author, using certain Lissajous’s curves, obtains plane projections of space curves with many ordinary multiple points; in particular he constructs explicitly irreducible nondegenerate (i.e. lying in no hyperplane) curves in \(\mathbb{P}^ n\), having only real ordinary multiple points; he concludes the paper going deeper into some questions related to the sequences of integers which occur as multiplicities of singular points of such curves.
Reviewer: C.Cumino (Torino)

MSC:
14H20 Singularities of curves, local rings
14H50 Plane and space curves
PDF BibTeX XML Cite