Hilbert schemes of suitable smooth, projective threefold scrolls over the Hirzebruch surface Fe, e ≥ 2, are studied. An irreducible component of the Hilbert scheme parametrizing such varieties is shown to be generically smooth of the expected dimension, and the general point of such a component is described.
Hilbert schemes of some threefold scrolls over Fe
FANIA, Maria Lucia;
2016-01-01
Abstract
Hilbert schemes of suitable smooth, projective threefold scrolls over the Hirzebruch surface Fe, e ≥ 2, are studied. An irreducible component of the Hilbert scheme parametrizing 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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