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Resolutions of homogeneous bundles on P^2

Giorgio Ottaviani·Elena Rubei
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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.

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Giorgio Ottaviani, Elena Rubei. 2005-04-22. Resolutions of homogeneous bundles on P^2. https://arxiv.org/abs/math/0401405

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