On the existence of curves in $ℙ^n$ with stable normal bundle
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 33-42
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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 $N_C$.
Keywords:
elementary transformations of bundles on smooth curves, bundles on nodal curves, normal bundle, nodal curves, bundles on smooth curves
Affiliations des auteurs :
Edoardo Ballico 1 ; Luciana Ramella 1
@article{10_4064_ap_72_1_33_42,
author = {Edoardo Ballico and Luciana Ramella},
title = {On the existence of curves in $\ensuremath{\mathbb{P}}^n$ with stable normal bundle},
journal = {Annales Polonici Mathematici},
pages = {33--42},
year = {1999},
volume = {72},
number = {1},
doi = {10.4064/ap-72-1-33-42},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-33-42/}
}
TY - JOUR AU - Edoardo Ballico AU - Luciana Ramella TI - On the existence of curves in $ℙ^n$ with stable normal bundle JO - Annales Polonici Mathematici PY - 1999 SP - 33 EP - 42 VL - 72 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-33-42/ DO - 10.4064/ap-72-1-33-42 LA - en ID - 10_4064_ap_72_1_33_42 ER -
Edoardo Ballico; Luciana Ramella. On the existence of curves in $ℙ^n$ with stable normal bundle. Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 33-42. doi: 10.4064/ap-72-1-33-42
Cité par Sources :