On the minimal free resolution of non-special curves in P^3

E. Ballico

On the minimal free resolution of non-special curves in P^3

Algebraic Geometry 2014-04-14 v2

Authors: E. Ballico

Abstract

Here we prove that the minimal free resolution of a general space curve of large degree (e.g. a general space curve of degree d and genus g with d g+3, except for finitely many pairs (d,g)) is the expected one. A similar result holds even for general curves with special hyperplane section and, roughly, d g/2. The proof uses the so-called methode d'Horace.

Keywords

minimal free resolution non-special curves space curves P^3 methode d'Horace

Cite

@article{arxiv.math/9803152,
  title  = {On the minimal free resolution of non-special curves in P^3},
  author = {E. Ballico},
  journal= {arXiv preprint arXiv:math/9803152},
  year   = {2014}
}

Comments

This paper has been withdrawn due to a crucial error (a key lemma is obviously false). In the meantime I was not able to overcome this error using another (but related) path

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