Vector bundles on a neighborhood of a ruled surface in a threefold
نویسندگان
چکیده
Let S be a ruled surface inside a smooth 3-fold W. Choose a neighborhood V of S in W and let Ŝ be the formal completion of S in V. Let E be a vector bundle over Ŝ. We show that (under suitable conditions) the local deformation 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.
منابع مشابه
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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.
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تاریخ انتشار 2003