Abstract

AbstractWe study moduli spacesM(c1,c2,d, r) of isomorphism classes of algebraic 2-vector bundles with fixed numerical invariantsc1,c2,d,rover a ruled surface. These moduli spaces are independent of any ample line bundle on the surface. The main result gives necessary and sufficient conditions for the non-emptiness of the spaceM(c1,c2,d, r) and we apply this result to the moduli spacesML(c1,c2) of stable bundles, whereLis an ample line bundle on the ruled surface.

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