Displaying similar documents to “On abelian automorphism group of a surface of general type.”

Normal surface singularities admitting contracting automorphisms

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.

Almost Abelian regular dessins d'enfants

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...

The full automorphism group of the Kulkarni surface.

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.