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Fibrations sur le cercle et surfaces complexes. (Fibrations over the circle and complex surfaces). (French) Zbl 0971.32013
In this interesting paper the author proves (Theorem 5.2): Let $$M$$ be a Waldhausen manifold. There exists a family of degenerating complex curves such that $$M$$ is its boundary if and only if there exists a horizontal fibration $$\varphi: M\to S^1$$ having negative Dehn numbers.
The complete list of such horizontal fibrations $$\varphi: M\to S^1$$ can be obtained by applying the algorithm given by author in 4.8.

##### MSC:
 32S25 Complex surface and hypersurface singularities 32C20 Normal analytic spaces 14J17 Singularities of surfaces or higher-dimensional varieties 57M99 General low-dimensional topology
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