On periodic maps over surfaces with large periods

DOI10.2748/tmj/1270041026zbMath1198.57011OpenAlexW1968591048MaRDI QIDQ973686

Susumu Hirose

Publication date: 2 June 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1270041026

zbMATH Keywords

automorphismRiemann surfacecyclic groupalgebraic curve

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (8)

Classification of periodic transformations of an orientable surface of genus two ⋮ On periodic self-homeomorphisms of closed orientable surfaces determined by their orders ⋮ On topological type of periodic self-homeomorphisms of closed non-orientable surfaces ⋮ Homology and orientation reversing periodic maps on surfaces ⋮ On classification of cyclic orientation-reversing actions of big order on closed surfaces ⋮ On Riemann surfaces of genus \(g\) with \(4g\) automorphisms ⋮ A note on large automorphism groups of compact Riemann surfaces ⋮ ON TOPOLOGICAL CLASSIFICATION OF FINITE CYCLIC ACTIONS ON BORDERED SURFACES

Cites Work

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• Classification of periodic maps on compact surfaces. I
• Reducibility and orders of periodic automorphisms of surfaces
• Periodic automorphisms of surfaces and cobordism
• Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem.
• Presentation of hyperelliptic periodic monodromies and splitting families
• Abelian actions on 2-manifolds
• On the geometry and dynamics of diffeomorphisms of surfaces
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE

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