Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1
Algebraic Geometry
2012-09-26 v2
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.
Cite
@article{arxiv.1110.5464,
title = {Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1},
author = {Gian Mario Besana and Maria Lucia Fania and Flaminio Flamini},
journal= {arXiv preprint arXiv:1110.5464},
year = {2012}
}
Comments
23 pages; title changed, as suggested by the referee; elementary transformation approach contained in new Section 4, as suggested by the refeeree; to appear in Journal of the Mathematical Society of Japan