Hilbert scheme of some threefold scrolls over F_1

Details Hilbert scheme of some threefold scrolls over F_1 Hilbert scheme of some threefold scrolls over F_1

2011-10-25

arxiv.org/abs/1110.5464v1

Mathematics

Algebraic Geometry

23 pages, submitted preprint

Scientific paper

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.

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