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On the family of cyclic trigonal Riemann surfaces of genus 4 with several trigonal morphisms
UNED.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-9557-9566
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2007 (English)In: Revista de la Real Academia de ciencias exactas, físicas y naturales. Serie A, Matematicas, ISSN 1578-7303, Vol. 101, no 1, 81-86 p.Article in journal (Refereed) Published
Abstract [en]

A closed Riemann surface which is a 3-sheeted regular covering of the Riemann sphere is called cyclic trigonal, and such a covering is called a cyclic trigonal morphism. Accola showed that if the genus is greater or equal than 5 the trigonal morphism is unique. Costa-Izquierdo-Ying found a family of cyclic trigonal Riemann surfaces of genus 4 with two trigonal morphisms. In this work we show that this family is the Riemann sphere without three points. We also prove that the Hurwitz space of pairs (trigonal morphism, is the Riemann sphere with four punctures. Finally, we give the equations of the curves in the family.

 

 

 

 

 

Place, publisher, year, edition, pages
2007. Vol. 101, no 1, 81-86 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-37190Local ID: 33899OAI: oai:DiVA.org:liu-37190DiVA: diva2:258039
Note
Original Publication: Antonio F Costa, Milagros Izquierdo and Daniel Ying, On the family of cyclic trigonal Riemann surfaces of genus 4 with several trigonal morphisms, 2007, Revista de la Real Academia de ciencias exactas, físicas y naturales. Serie A, Matematicas, (101), 1, 81-86. Copyright: Real Academia de Ciencias, Espana Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2015-03-09

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Izquierdo, MilagrosYing, Daniel

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • Other style
More styles
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  • de-DE
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