Matei Toma
,
Paltin Ionescu
The paper is published:
Int. J. of Math., 8 (1997), 633-643
MSC 2000
- 14H60 Vector bundles on curves and their moduli
-
14J40 $n$-folds ($n>4$)
Abstract
We study very ample vector bundles on curves. We first give numerical conditions
for the existence of non-special such bundles. Then we prove the inequality
h^0(det E) > h^0(E)+ rank(E)-3
over curves of genus at least two. We apply this to prove some special cases of
a conjecture on scrolls of small codimension.
Keywords:
ample vector bundle, algebraic curve, scroll