We give a general geometrical procedure to construct nilpotent morphisms Phi : F -> F(d), with F a vector bundle on P-1, obtaining an analog of the Jordan canonical form. We investigate the possible splitting types of F in dependence on the degeneration behavior of Phi. Applications to nilpotent matrices with an arbitrary number of variables are also given.
Homogeneous nilpotent matrices in two variables
Re, Riccardo
2008-01-01
Abstract
We give a general geometrical procedure to construct nilpotent morphisms Phi : F -> F(d), with F a vector bundle on P-1, obtaining an analog of the Jordan canonical form. We investigate the possible splitting types of F in dependence on the degeneration behavior of Phi. Applications to nilpotent matrices with an arbitrary number of variables are also given.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
