On the weights of the fixed points of an automorphism of a compact Riemann surface

In this work we study automorphisms of compact Riemann surfaces with more than four fixed points. We obtain a lower bound for the weight of each of these fixed points. The discussion depends on the parities of the order of the automorphism and the number of fixed points. Moreover, we discuss the sha...

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Bibliographic Details
Published inArchiv der Mathematik Vol. 86; no. 1; pp. 50 - 55
Main Author Pozo, Angel L. Perez del
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2006
Subjects
Automorphisms
Lower bounds
Riemann surfaces
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Summary:In this work we study automorphisms of compact Riemann surfaces with more than four fixed points. We obtain a lower bound for the weight of each of these fixed points. The discussion depends on the parities of the order of the automorphism and the number of fixed points. Moreover, we discuss the sharpness of our bounds.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-005-1473-0