27 research outputs found
From coherent sheaves to curves in P^3
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Construction de familles minimales de courbes gauches
Let be a local noetherian ring and be a locally sheaf on the
projective space : one proves easily that there exists a family of
(smooth connected) curves contained in , flat over , and an integer
such that the ideal sheaf of has a resolution where is a direct sum of invertible sheaves . In this paper
we determine, for a given sheaf , all the families of curves with such a
resolution, especially the minimal ones (corresponding to the minimum value of
). It gives a description of the biliaison class related to , and a tool
for constructing families of space curves.Comment: 17 pages Te