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Bujalance, E. and Etayo Gordejuela, J. Javier and Gamboa, J. M. and Gromadzki, G.
(2011)
*The Gonality Of Riemann Surfaces Under Projections By Normal Coverings.*
Journal Of Pure And Applied Algebra, 215
(5).
pp. 983-988.
ISSN 0022-4049

PDF
Restringido a Repository staff only 246kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022404910001581

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http://www.sciencedirect.com | Publisher |

## Abstract

A compact Riemann surface X of genus g ≥ 2 which can be realized as a q-fold, normal covering of a compact Riemann surface of genus p is said to be (q, p)-gonal.

In particular the notion of (2, p)-gonality coincides with p-hyperellipticity and (q, 0)-gonality coincides with ordinary q-gonality.

Here we completely determine the relationship between the

gonalities of X and Y for an N-fold normal covering X → Y between compact Riemann surfaces X and Y.

As a consequence we obtain classical results due to Maclachlan (1971) [5] and Martens (1977) [6].

Item Type: | Article |
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Uncontrolled Keywords: | Mathematics, Applied; Mathematics |

Subjects: | Sciences > Mathematics > Functions |

ID Code: | 15207 |

Deposited On: | 16 May 2012 08:24 |

Last Modified: | 07 Aug 2018 07:25 |

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