Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F1 are studied. An irreducible component of the Hilbert scheme parametriz- ing such varieties is shown to be generically smooth of the expected dimension and the general point of such a component is described.
Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1,
FANIA, Maria Lucia;
2013-01-01
Abstract
Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F1 are studied. An irreducible component of the Hilbert scheme parametriz- ing such varieties is shown to be generically smooth of the expected dimension and the general point of such a component is described.File in questo prodotto:
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