IJPAM: Volume 26, No. 4 (2006)
HOLOMORPHIC VECTOR BUNDLES ON
A FORMAL NEIGHBORHOOD OF A
INSIDE A SMOOTH -FOLD WITH
NEGATIVE NORMAL BUNDLE
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
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''.
Received: February 3, 2006
AMS Subject Classification: 14J60, 14D15, 13D10, 32G08, 32F10
Key Words and Phrases: exceptional variety, holomorphic vector bundle, formal complex space, local deformation space, local moduli space
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 26
Issue: 4