# IJPAM: Volume 26, No. 4 (2006)

HOLOMORPHIC VECTOR BUNDLES ON
A FORMAL NEIGHBORHOOD OF A
INSIDE A SMOOTH -FOLD WITH
NEGATIVE NORMAL BUNDLE

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it

Abstract.Let be a formal neighborhood of in a smooth -fold with negative normal bundle and a vector bundle on such that is simple. Then the local deformation space of is finite dimensional and smooth and a general element of it is as balanced as possible''.