# IJPAM: Volume 47, No. 2 (2008)

CURVES IN GRASMANNIANS AND PROJECTIVE SPACES:
REDUCIBILITY OR IRREDUCIBILITY OF THE STRATA
WITH FIXED RESTRICTED TANGENT 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 smooth curve of genus and a rank vector bundle on . Let be an -dimensional projective manifolds. Let be the set of all morphisms such that (the restricted tangent bundle). Here we study the irreducibility of if either or and is the Grassmannian .