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Fixed point free involutions on Riemann surfaces

Parlier, Hugo

In: Israel Journal of Mathematics, 2008, vol. 166, no. 1, p. 297-311

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    Titre
    • Fixed point free involutions on Riemann surfaces
    Auteur
    • Parlier, Hugo. SIGAT Institute, EPFL, Bâtiment BCH, CH-1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Israel Journal of Mathematics, 2008, vol. 166, no. 1, p. 297-311. The Hebrew University Magnes Press
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:316200
    Summary
    In this paper, involutions without fixed points on hyperbolic closed Riemann surface are discussed. For an orientable surface X of even genus with an arbitrary Riemannian metric d admitting an involution τ, it is known that min p∈X d(p, τ(p)) is bounded by a constant which depends on the area of X. The corresponding claim is proved to be false in odd genus, and the optimal constant for hyperbolic Riemann surfaces is calculated in genus 2