The Riemann surface of a uniform dessin.
Singerman, David, Syddall, Robert I. (2003)
Beiträge zur Algebra und Geometrie
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Singerman, David, Syddall, Robert I. (2003)
Beiträge zur Algebra und Geometrie
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David Singerman (1997)
Mathematica Slovaca
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Robert Brooks (1998-1999)
Séminaire de théorie spectrale et géométrie
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Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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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.
Gareth A. Jones (1997)
Mathematica Slovaca
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Ilia Itenberg (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The paper is devoted to algebraic surfaces which can be obtained using a simple combinatorial procedure called the T-construction. The class of T-surfaces is sufficiently rich: for example, we construct T-surfaces of an arbitrary degree in RP³ which are M-surfaces. We also present a construction of T-surfaces in RP³ with dim H1 (RX; Z/2) > h1, 1(CX), where RX and CX are the real and the complex point sets of the surface.
Rubén A. Hidalgo (2011)
Fundamenta Mathematicae
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Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S...