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Topology of Algebraic Curves: An Approach Via Dessins D'Enfants

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Topology of Algebraic Curves: An Approach via Dessins d'Enfants - Degtyarev, Alex
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This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The approach relies on a close relation between trigonal curves/elliptic surfaces, a certain class of ribbon graphs, and subgroups of the ...

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Topology of Algebraic Curves: An Approach via Dessins d'Enfants 2012, De Gruyter, Berlin

ISBN-13: 9783110255911

Hardcover