### Special positions for surfaces bounded by closed braids.

Lee Rudolph (1985)

Revista Matemática Iberoamericana

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Lee Rudolph (1985)

Revista Matemática Iberoamericana

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Ulmet, Dan-Eugen (2004)

International Journal of Mathematics and Mathematical Sciences

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Cam Van Quach Hongler, Claude Weber (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Hari das Bagchi, Biswarup Mukherji (1952)

Rendiconti del Seminario Matematico della Università di Padova

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Margarita Mendes Lopes (2004)

Collectanea Mathematica

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In 1985 Xiao Gang proved that the bicanonical surface of a complex surface S of general type with p2(S) > 2 is not composed of a pencil. In this note a new proof of this theorem is presented.

Teruo Nagase, Akiko Shima (2005)

Fundamenta Mathematicae

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Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.

Luis Giraldo, Ignacio Sols (1998)

Collectanea Mathematica

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Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.

Szilvási-Nagy, Márta, Béla, Szilvia, Mátyási, Gyula (2008)

Annales Mathematicae et Informaticae

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C. E. Weatherburn (1930)

Journal de Mathématiques Pures et Appliquées

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Itoh, Jin-ichi, Sinclair, Robert (2004)

Experimental Mathematics

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Alex Eskin, Howard Masur, Anton Zorich (2003)

Publications Mathématiques de l'IHÉS

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A holomorphic 1-form on a compact Riemann surface S naturally defines a flat metric on S with cone-type singularities. We present the following surprising phenomenon: having found a geodesic segment (saddle connection) joining a pair of conical points one can find with a nonzero probability another saddle connection on S having the same direction and the same length as the initial one. A similar phenomenon is valid for the families of parallel closed geodesics. We give a complete description...