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Three-fold Coverings and Hyperelliptic Manifolds: a Three-Dimensional Version of a Result of Accola
Mednykh, Alexander
Reni, Marco
Vesnin, Andrei
Zimmermann, Bruno
2001
Abstract
It has been proved by Accola that any 3-fold unbranched
covering of a Riemann surface of genus two is hyperelliptic (a
2-fold branched covering of the 2-sphere) if the covering is non-
regular, and 1-hyperelliptic (a 2-fold branched covering of a torus)
if it is regular. In the present paper, we show that the corresponding result holds for closed 3-manifolds when replacing the genus
by the Heegaard genus.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
A. Mednykh et al., "Three-fold Coverings and Hyperelliptic Manifolds: a Three-Dimensional Version of a Result of Accola", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 181–191.
Languages
en
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