We characterize minimal free resolutions of homogeneous bundles on the projective plane. Besides we study stability and simplicity of homogeneous bundles on the projective plane 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 resolution in the case the first bundle of the resolution is irreducible.
Resolutions of homogeneous bundles on P^2 / G. Ottaviani; E. Rubei. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - STAMPA. - 55:(2005), pp. 973-1015. [10.5802/aif.2119]
Resolutions of homogeneous bundles on P^2
OTTAVIANI, GIORGIO MARIA;RUBEI, ELENA
2005
Abstract
We characterize minimal free resolutions of homogeneous bundles on the projective plane. Besides we study stability and simplicity of homogeneous bundles on the projective plane 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 resolution in the case the first bundle of the resolution is irreducible.
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