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Maximal order of automorphisms of trigonal Riemann surfaces
Departamento de Matemáticas Fundamentales, Facultad de Ciencias, UNED.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9557-9566
2010 (English)In: Journal of Algebra, ISSN 0021-8693, Vol. 323, no 1, 27-31 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we find the maximal order of an automorphism of a trigonal Riemann surface of genus g, g5. We find that this order is smaller for generic than for cyclic trigonal Riemann surfaces, showing that generic trigonal surfaces have “less symmetry” than cyclic trigonal surfaces. Finally we prove that the maximal order is attained for infinitely many genera in both the cyclic and the generic case.

Place, publisher, year, edition, pages
2010. Vol. 323, no 1, 27-31 p.
Keyword [en]
Trigonal Riemann surface; Fuchsian group; Algebraic curve; Automorphisms of Riemann surfaces
National Category
URN: urn:nbn:se:liu:diva-51866DOI: 10.1016/j.jalgebra.2009.09.041OAI: diva2:277914
Original Publication: Antonio F. Costa and Milagros Izquierdo, Maximal order of automorphisms of trigonal Riemann surfaces, 2010, Journal of Algebra, (323), 1, 27-31. Copyright: Elsevier Science B.V., Amsterdam Available from: 2009-11-22 Created: 2009-11-22 Last updated: 2015-03-09

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