Resolutions of homogeneous bundles on P^2
Algebraic Geometry
2007-05-23 v2 Representation Theory
Abstract
In this paper we characterize minimal free resolutions of homogeneous bundles on P^2. Besides we study stability and simplicity of homogeneous bundles on P^2 by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal free resolution in the case the first bundle of the resolution is irreducible.
Cite
@article{arxiv.math/0401405,
title = {Resolutions of homogeneous bundles on P^2},
author = {Giorgio Ottaviani and Elena Rubei},
journal= {arXiv preprint arXiv:math/0401405},
year = {2007}
}
Comments
some minor changes; to appear in Annales de L'Institut Fourier