Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.
@article{urn:eudml:doc:41328,
title = {The irregularity of ruled surfaces in three dimensional projective space.},
journal = {Collectanea Mathematica},
volume = {49},
year = {1998},
pages = {325-334},
zbl = {0956.14026},
mrnumber = {MR1677132},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41328}
}
Giraldo, Luis; Sols, Ignacio. The irregularity of ruled surfaces in three dimensional projective space.. Collectanea Mathematica, Tome 49 (1998) pp. 325-334. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41328/