On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9312010,
title = {On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I},
author = {Charles H. Walter},
journal= {arXiv preprint arXiv:alg-geom/9312010},
year = {2008}
}
Comments
14 pages, LATeX 2.09