Vector bundles on a three dimensional neighborhood of a ruled surface

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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.
Revised version to appear in J. Pure Appl. Algebra. A new section on deformations was added

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Algebraic Geometry, 14J60, 32G08

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http://salesiana.dossiersoluciones.com/handle/123456789/62474

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110258
 http://arxiv.org/abs/math/0110258

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arXiv