Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03 Japan
Abstract:
Let be an algebraically closed field of characteristic . Let be a nonsingular projective variety defined over and an ample line bundle on . We shall prove that there exists an explicit number such that if is a -stable vector bundle of rank at most three, then the restriction is -stable for all and all smooth irreducible divisors . This result has implications to the geometry of the moduli space of -stable bundles on a surface or a projective space.