代数曲線の位相幾何学：「子どものデッサン」によるアプローチ Topology of Algebraic Curves : An Approach via Dessins d'Enfants (De Gruyter Studies in Mathematics 44) （2012. XVI, 393 S. 75 b/w ill., 25 b/w tbl. 240 mm）

代数曲線の位相幾何学：「子どものデッサン」によるアプローチ<br>Topology of Algebraic Curves : An Approach via Dessins d'Enfants (De Gruyter Studies in Mathematics 44) （2012. XVI, 393 S. 75 b/w ill., 25 b/w tbl. 240 mm）

代数曲線の位相幾何学：「子どものデッサン」によるアプローチ
Topology of Algebraic Curves : An Approach via Dessins d'Enfants (De Gruyter Studies in Mathematics 44) （2012. XVI, 393 S. 75 b/w ill., 25 b/w tbl. 240 mm）

Degtyarev, Alex

DE GRUYTER（2012発売）

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製本 Hardcover:ハードカバー版／ページ数 400 p.
商品コード 9783110255911

Full Description

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.