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arxiv: math/0509191 · v2 · submitted 2005-09-08 · 🧮 math.CV

Some examples of 1-convex non-embeddable threefolds

classification 🧮 math.CV
keywords convexcurvethreefoldsboundarychaincomplexconstructdimensional
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We construct a family of 1-convex threefolds, with exceptional curve C of type (0,-2), which are not embeddable in C^m \times CP_n. In order to show that they are not Kaehler we exhibit a real 3-dimensional chain A whose boundary is the complex curve C.

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