Anticonformal automorphisms and Schottky coverings.
Hidalgo, Rubén A., Costa, Anotnio F. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hidalgo, Rubén A., Costa, Anotnio F. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hidalgo, Rubén A. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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David Singerman (1997)
Mathematica Slovaca
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Adnan Melekoglu (2000)
Revista Matemática Complutense
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Let X be a compact Riemmann surface of genus g > 1. A symmetry T of X is an anticonformal involution. The fixed point set of T is a disjoint union of simple closed curves, each of which is called a mirror of T. If T fixes g +1 mirrors then it is called an M-symmetry and X is called an M-surface. If X admits an automorphism of order g + 1 which cyclically permutes the mirrors of T then we shall call X an M-surface with the M-property. In this paper we investigate those M-surfaces...
M. Izquierdo (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Aigon-Dupuy, Aline (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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David A. Cox, Walter R. Parry (1980)
Compositio Mathematica
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Tolga Karayayla (2014)
Open Mathematics
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In this paper, the automorphism groups of relatively minimal rational elliptic surfaces with section which have constant J-maps are classified. The ground field is ℂ. The automorphism group of such a surface β: B → ℙ1, denoted by Au t(B), consists of all biholomorphic maps on the complex manifold B. The group Au t(B) is isomorphic to the semi-direct product MW(B) ⋊ Aut σ (B) of the Mordell-Weil groupMW(B) (the group of sections of B), and the subgroup Aut σ (B) of the automorphisms preserving...
Grzegorz Gromadzki (2000)
Revista Matemática Iberoamericana
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We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.