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Some examples of 1-convex non-embeddable threefolds

Giovanni Bassanelli, Marco Leoni

math.CVarXiv:math/0509191

Abstract

We construct a family of 1-convex threefolds, with exceptional curve C of type (0,-2), which are not embeddable in Cm × CPn. 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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