Some examples of 1-convex non-embeddable threefolds

Details Some examples of 1-convex non-embeddable threefolds Some examples of 1-convex non-embeddable threefolds

2005-09-08

arxiv.org/abs/math/0509191v2

Mathematics

Complex Variables

7 pages

Scientific paper

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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