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Abstract: We study the stability of some homogeneous bundles on P^3 by using theirrepresentations of the quiver associated to the homgeneous bundles on P^3. Inparticular we show that homogeneous bundles on P^3 whose support of the quiverrepresentation is a parallelepiped are stable, for instance the bundles E whoseminimal free resolution is of the kind 0 -> S^{l 1, l 2, l 3} V t -> S^{l 1+s, l 2, l 3} V t+s -> E -> 0 are stable.



Autor: Elena Rubei

Fuente: https://arxiv.org/



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