- Tytuł:
- Families of smooth curves on surface singularities and wedges
- Autorzy:
-
Gonzalez-Sprinberg, Gérard
Lejeune-Jalabert, Monique - Powiązania:
- https://bibliotekanauki.pl/articles/1294669.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
surface singularities
smooth curves
maximal cycle
wedges - Opis:
- Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth curves on any sandwiched surface singularity. A wedge centered at a smooth curve on (S,O) is essentially a one-parameter deformation of the parametrization of the curve. We show that there is no wedge centered at smooth curves of two different families.
- Źródło:
-
Annales Polonici Mathematici; 1997, 67, 2; 179-190
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł