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/