Edoardo Ballico, Elizabeth Gasparim
Published 2001-10-23, updated 2004-05-12Version 3
Let $S$ be a ruled surface inside a smooth threefold $W$ and let $E$ be a vector bundle on a formal neighborhood of $S.$ We find minimal conditions under which the local moduli space of $E$ is finite dimensional and smooth. Moreover, we show that $E$ is a flat limit of a flat family of vector bundles whose general element we describe explicitly.
Comments: Revised version to appear in J. Pure Appl. Algebra. A new section on deformations was added
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