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arxiv: 1209.6371 · v2 · pith:ILY77BKLnew · submitted 2012-09-27 · 🧮 math.CV · math.AG

Non-embeddable 1-convex manifolds

classification 🧮 math.CV math.AG
keywords non-embeddableconvexmanifoldsmallbundlecontainingcurveevery
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We show that every small resolution of a three-dimensional terminal hypersurface singularity can occur on a non-embeddable 1-convex manifold. We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type (1,-3). To this end we study small resolutions of cD_4-singularities.

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