Hilbert schemes of some threefold scrolls over F_e
Algebraic Geometry
2015-05-25 v3
Abstract
Hilbert schemes of suitable smooth, projective 3-fold scrolls over the Hirzebruch surface F_e, with e > 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. This article generalizes the study of Hilbert schemes done in arXiv:1110.5464 for e=1.
Cite
@article{arxiv.1406.0956,
title = {Hilbert schemes of some threefold scrolls over F_e},
author = {Maria Lucia Fania and Flaminio Flamini},
journal= {arXiv preprint arXiv:1406.0956},
year = {2015}
}
Comments
25 pages; revised version after referees' comments; to appear in Advances in Geometry; this article deals with the case of scrolls over F_e, e>1, and thus generalizes the study of Hilbert schemes done in arXiv:1110.5464 for e=1