(1) Department of Mathematics, University of Trento, 38050 Povo, (TN), Italy
Abstract:
LetM be a connected two-dimensional Stein manifold withH2(M,Z)=0 andS∈M a discrete subset withS≠ Ø. SetX:=M/S. Fix an integerr≥2. Then there exists a rankr vector bundleE onX such that there is no line bundleL onX with a non-zero mapL →E.