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Topology of Algebraic Curves

An Approach via Dessins d'Enfants

Topology of Algebraic Curves by Alex Degtyarev
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The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed upon various applications of the theory to 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 monograph conveys recent knowledge about related objects and is of interest to researchers and graduate students in the fields of topology and of complex and real algebraic varieties.

De Gruyter; July 2012
412 pages; ISBN 9783110258424
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Title: Topology of Algebraic Curves
Author: Alex Degtyarev