VECTOR BUNDLES ON A FORMAL
NEIGHBORHOOD OF A CURVE
IN A SURFACE

E. BALLICO AND E. GASPARIM

Abstract:

Here we study vector bundles in a formal or tubular neighborhood of a smooth projective curve $C$ in a complex surface $W$. In several cases, e.g., if $C$ has genus 0 and its normal bundle has degree $-1$ or $-2$, we attach to every such bundle a series of discrete invariants and ``simpler'' bundles, and we study the set of all bundles with fixed invariants.