Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F_1 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.
Besana, G., Fania, M., Flamini, F. (2013). Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 65(4), 1243-1272 [10.2969/jmsj/].
Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1
FLAMINI, FLAMINIO
2013-03-10
Abstract
Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F_1 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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