Resolutions of homogeneous bundles on P^2
Giorgio Ottaviani, Elena Rubei
TL;DR
This paper characterizes minimal free resolutions of homogeneous bundles on P^2 and provides criteria for their stability, simplicity, and irreducibility based on these resolutions.
Contribution
It introduces a new characterization of minimal free resolutions for homogeneous bundles on P^2 and links these resolutions to stability and simplicity criteria.
Findings
Provides a criterion for simplicity based on minimal free resolution
Characterizes minimal free resolutions of homogeneous bundles on P^2
Analyzes stability and irreducibility of these bundles
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology