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arXiv · 1209.6371

Non-embeddable 1-convex manifolds

Jan Stevens
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Abstract

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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Jan Stevens. 2012-09-27. Non-embeddable 1-convex manifolds. https://doi.org/10.5802/aif.2909

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