On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I

Details On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I

1993-12-20

arxiv.org/abs/alg-geom/9312010v1

Mathematics

Algebraic Geometry

14 pages, LATeX 2.09

Scientific paper

Let E be a torsion-free sheaf on P2. We give an effective method which uses the Hilbert function of E to construct a weak version of the Harder-Narasimhan filtration of a torsion-free sheaf on P2 subject only to the condition that E be sufficiently general among sheaves with that Hilbert function. This algorithm uses on a generalization of Davis' decomposition lemma to higher rank.

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