The conjecture on the (degree-codimension + 1) - regularity of projective varieties is proved for smooth linearly normal polarized varieties (X,L) with L very ample, for low values of Delta(X,L) = degree-codimension-1. Results concerning the projective normality of some classes of special varieties including scrolls over curves of genus 2 and quadric fibrations over elliptic curves, are proved.
@article{urn:eudml:doc:41184, title = {On the k-regularity of some proyective manifolds.}, journal = {Collectanea Mathematica}, volume = {49}, year = {1998}, pages = {149-171}, zbl = {0967.14009}, mrnumber = {MR1677105}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41184} }
Alzati, Alberto; Besana, Gian Mario. On the k-regularity of some proyective manifolds.. Collectanea Mathematica, Tome 49 (1998) pp. 149-171. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41184/