Vector bundles on a three dimensional neighborhood of a ruled surface

Edoardo Ballico; Elizabeth Gasparim

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Vector bundles on a three dimensional neighborhood of a ruled surface

Edoardo Ballico·Elizabeth Gasparim

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Abstract

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.

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BibTeX RIS

Edoardo Ballico, Elizabeth Gasparim. 2004-05-12. Vector bundles on a three dimensional neighborhood of a ruled surface. https://arxiv.org/abs/math/0110258

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