Abstract

In this paper we study holomorphic rank two vector bundles on the blow-up of C-2 With vanishing Chem class. The restriction of such a bundle over the exceptional divisor splits as O(j) + O(-j) for some integer j. We denote by M-j the moduli space of holomorphic bundles on the blow-up of C-2 whose restriction to the exceptional divisor is O(j) + O(-j). We prove that M-j is generically a complex projective space of dimension 2j-3. (C) 1998 Academic Press.