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

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.

arXiv commentThis paper has been withdrawn due to a crucial error (a key lemma is obviously false).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