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

Charles H. Walter
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Abstract

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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BibTeXRIS

Charles H. Walter. 1993-12-20. On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I. https://arxiv.org/abs/alg-geom/9312010

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