Vector bundles on a three-dimensional neighborhood of a ruled surface |
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Authors: | Edoardo Ballico |
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Institution: | a Department of Mathematics, University of Trento, 38050 Povo, Italy b Department of Mathematics, New Mexico State University, Las Cruces, NM 88003, USA |
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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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Keywords: | Primary: 13D10 secondary: 32G08 |
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