Temat: smooth curves - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the existence of curves in $ℙ^n$ with stable normal bundle
Autorzy:: Ballico, Edoardo
Ramella, Luciana
Powiązania:: https://bibliotekanauki.pl/articles/1293997.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: elementary transformations of bundles on smooth curves
bundles on nodal curves
normal bundle
nodal curves
bundles on smooth curves
Opis:: We prove that for integers n,d,g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n + 1, the general (smooth) curve C in $ℙ^n$ with degree d and genus g has a stable normal bundle $N_C$.
Źródło:: Annales Polonici Mathematici; 1999, 72, 1; 33-42
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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