Resolutions of homogeneous bundles on P^2

Details Resolutions of homogeneous bundles on P^2 Resolutions of homogeneous bundles on P^2

2004-01-28

arxiv.org/abs/math/0401405v2

Mathematics

Algebraic Geometry

some minor changes; to appear in Annales de L'Institut Fourier

Scientific paper

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.

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