Courbes gauches ayant beaucoup de points multiples réels. (Space curves with many multiple real points). (French. Abridged English version) Zbl 0783.14012

Pecker, Daniel

C. R. Acad. Sci., Paris, Sér. I 315, No. 5, 561-565 (1992).

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

Keywords:

Lissajous’s curves; space curves; multiple points