We give a general geometrical procedure to construct nilpotent morphisms Φ : F → F(d), with F a vector bundle on ℙ1, obtaining an analog of the Jordan canonical form. We investigate the possible splitting types of F in dependence on the degeneration behavior of Φ. Applications to nilpotent matrices with an arbitrary number of variables are also given.
Homogeneous Nilpotent Matrices in two Variables
CAUSA, Antonio;RE, Riccardo
2008-01-01
Abstract
We give a general geometrical procedure to construct nilpotent morphisms Φ : F → F(d), with F a vector bundle on ℙ1, obtaining an analog of the Jordan canonical form. We investigate the possible splitting types of F in dependence on the degeneration behavior of Φ. Applications to nilpotent matrices with an arbitrary number of variables are also given.File in questo prodotto:
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