Topology of Algebraic Curves - An Approach via Dessins d'Enfants (Hardcover)

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 modular group, which provides a combinatorial framework for the study of geometric objects. A brief summary of the necessary auxiliary results and techniques used and a background of the principal problems dealt with are included in the text. The book is intended to researchers and graduate students in the field of topology of complex and real algebraic varieties.

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Studies in Mathematics
Release date:	June 2012
First published:	2012
Authors:	Alex Degtyarev
Dimensions:	240 x 170 x 24mm (L x W x T)
Format:	Hardcover
Pages:	409
ISBN-13:	978-3-11-025591-1
Categories:	Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-11-025591-X
Barcode:	9783110255911

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