Topology of Algebraic Curves: An Approach via Dessins d`Enfants 9783110255911

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Автор: Alex Degtyarev
Название: Topology of Algebraic Curves: An Approach via Dessins d`Enfants
ISBN: 9783110255911
Издательство: Walter de Gruyter
Классификация:

Алгебра

Геометрия

Алгебраическая топология

ISBN-10: 311025591X
Обложка/Формат: Hardcover
Страницы: 409
Вес: 0.85 кг.
Дата издания: 14.06.2012
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 24
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Geometry, MATHEMATICS / Algebra / General,MATHEMATICS / Geometry / General,MATHEMATICS / Topology
Поставляется из: Германии
Описание: 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.

Topology of Algebraic Curves: An Approach via Dessins d`Enfants, Alex Degtyarev