Algorithmic compression of surface automorphisms.
A.J., Long, D.D. Casson (1985)
Inventiones mathematicae
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A.J., Long, D.D. Casson (1985)
Inventiones mathematicae
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J.D. McCarthy (1986)
Inventiones mathematicae
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A.T. Huckleberry, M. Sauer (1990)
Mathematische Zeitschrift
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Charles Favre, Matteo Ruggiero (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We show that a complex normal surface singularity admitting a contracting automorphism is necessarily quasihomogeneous. We also describe the geometry of a compact complex surface arising as the orbit space of such a contracting automorphism.
Ruben A. Hidalgo (2013)
Fundamenta Mathematicae
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A regular dessin d'enfant, in this paper, will be a pair (S,β), where S is a closed Riemann surface and β: S → ℂ̂ is a regular branched cover whose branch values are contained in the set {∞,0,1}. Let Aut(S,β) be the group of automorphisms of (S,β), that is, the deck group of β. If Aut(S,β) is Abelian, then it is known that (S,β) can be defined over ℚ. We prove that, if A is an Abelian group and Aut(S,β) ≅ A ⋊ ℤ₂, then (S,β) is also definable over ℚ. Moreover, if A ≅ ℤₙ, then we provide...
Peter Turbek (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The full automorphism group of the Kulkarni surface is explicitly determined. It is employed to give three defining equations of the Kulkarni surface; each equation exhibits a symmetry of the surface as complex conjugation.
G.A. Elliott (1977)
Inventiones mathematicae
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D. Olesen, G.K. Pedersen, E. Stornier (1977)
Inventiones mathematicae
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E. Bujalance (1985)
Mathematische Annalen
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Gary Lawlor (1989)
Inventiones mathematicae
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Klaus Schmidt, Tom Ward (1993)
Inventiones mathematicae
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