On the pole placement problem for linear systems of arbitrary genus.
We study the structure of the filtered Gauss-Manin system associated to a holomorphic function with an isolated singularity, and get a basis of the Brieskorn lattice over such that the action of is expressed byfor two matrices with semi-simple, where is the basis. As an application, we calculate the -function of in the case of two variables.
Let be an integral projective curve with . For all positive integers , let be the set of all with and spanned. Here we prove that if , then except in a few cases (essentially if is a double covering).
Sia una curva proeittiva e lissa, generali nel senso di Brill-Noether, indichiamo con l'insieme algebrico di quadrici di rango contenendo a . In questo lavoro noi descriviamo birazionalmente i componenti irriducibile di .