On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I
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. T...
Saved in:
Main Author | |
---|---|
Format | Journal Article |
Language | English |
Published |
20.12.1993
|
Subjects | |
Online Access | Get full text |
DOI | 10.48550/arxiv.alg-geom/9312010 |
Cover
Summary: | 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. |
---|---|
DOI: | 10.48550/arxiv.alg-geom/9312010 |