RT Journal Article
T1 Bounding families of ruled surfaces
A1 Gallego Rodrigo, Francisco Javier
A1 Giraldo Suárez, Luis
A1 Sols, Ignacio
AB In this paper we provide a sharp bound for the dimension of a family of ruled surfaces of degree d in P3 K. We also _nd the families with maximal dimension: the family of ruled surfaces containing two unisecant skew lines, when d _ 9 and the family of rational ruled surfaces, when d _ 9. The first tool we use is a Castelnuovo-type bound for the irregularity of ruled surfaces in Pn K. The second tool is an exact sequence involving the normal sheaf of a curve in the grassmannian. This sequence is analogous to the one constructed by Eisenbud and Harris in 1992, where they deal with the problemof bounding families of curves in projective space. However, our construction is more general since we obtain the mentioned sequence by purely algebraic means, studying the geometry of ruled surfaces and of the grassmannian.
PB America Mathematical Society
SN 1088-6826
YR 1996
FD 1996-10
LK https://hdl.handle.net/20.500.14352/57049
UL https://hdl.handle.net/20.500.14352/57049
LA eng
NO First published in Proceedings of the American Mathematical Society in Volume 124, Number 10, October 1996, published by the American Mathematical
NO CICYT
DS Docta Complutense
RD 27 abr 2024