Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Hilbert scheme of some threefold scrolls over the Hirzebruch surface $¥mathbb F$1
Gian Mario BesanaMaria Lucia FaniaFlaminio Flamini
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2013 Volume 65 Issue 4 Pages 1243-1272

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Abstract
Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface $¥mathbb 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.
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© 2013 The Mathematical Society of Japan
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