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

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

1998-03-31

arxiv.org/abs/math/9803152v1

Mathematics

Algebraic Geometry

78 pages, Latex

Scientific paper

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.

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