Full paper in PDF:
$%E. Ballico and L. Ramella, General stable bundles arising as normal bundles of projective curves,
Rev. Mat. Complut. 12 (1999), no. 1, 17–26. %$
Department of Mathematics University of Trento 38050 Povo (TN) — Italy | Department of Mathematics University of Genova v. Dodecaneso 35 16146 Genova — Italy |
ABSTRACT
Let be a smooth projective curve of genus
. For all integers
,
with
let
be the moduli scheme of rank
stable vector
bundles on
with degree
.
Here we prove that for all integers ,
with
and
there is an open dense subset
of
such that for every
there is a
non-degenerate degree d embedding of
in
with
as normal bundle.
For the proof we use reducible smoothable curves.
1991 Mathematics Subject Classification: 14H10, 14H60, 14C05.