Degenerations of scrolls to unions of planes
Algebraic Geometry
2007-05-23 v2
Abstract
In this paper we study degenerations of scrolls to union of planes, a problem already considered by G. Zappa in 1940-50. We prove, using techniques different from the ones of Zappa, a degeneration result to union of planes with the mildest possible singularities, for linearly normal scrolls of genus and of degree larger than in . We also study properties of components of the Hilbert scheme parametrizing scrolls. Finally we review Zappa's original approach.
Keywords
Cite
@article{arxiv.math/0601295,
title = {Degenerations of scrolls to unions of planes},
author = {Alberto Calabri and Ciro Ciliberto and Flaminio Flamini and Rick Miranda},
journal= {arXiv preprint arXiv:math/0601295},
year = {2007}
}
Comments
Latex2e, 26 pages, 15 figures. submitted preprint. v.2: some misprints are corrected