eBook - PDF

Topology of Algebraic Curves

Name: Topology of Algebraic Curves
Author: Alex Degtyarev

An Approach via Dessins d'Enfants

Alex Degtyarev,

409 pages
English
PDF
Available on iOS & Android

eBook - PDF

Topology of Algebraic Curves

An Approach via Dessins d'Enfants

Alex Degtyarev,

About this book

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.

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Yes, you can access Topology of Algebraic Curves by Alex Degtyarev in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.