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On the existence of curves in $ℙ^n$ with stable normal bundle

Volume 72 / 1999

Edoardo Ballico, Luciana Ramella Annales Polonici Mathematici 72 (1999), 33-42 DOI: 10.4064/ap-72-1-33-42

Abstract

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 $N_C$.

Authors

  • Edoardo Ballico
  • Luciana Ramella

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