Authors:
- Systematically treats the global geometry of equisingular families of algebraic curves on algebraic surfaces
- Accumulates the material spread over numerous, recent and classical journal publications, and elaborates it into a unified theory which allows one to approach all main problems in the subject and to answer several classical questions in this area
- Provides a guide to a variety of methods, results and applications of singular algebraic curves and their families
- Offers a detailed presentation of the background stuff (including the global deformation theory and the original Viro patchworking construction) which leads the reader to the main ideas of the theory
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“The book is very well written and sufficiently self-contained. Certainly, the reader is assumed to be familiar with the basics of algebraic geometry and singularity theory; however, most necessary results, even classical, are carefully stated and either proved in the book or supplied with abundant references. As a nice surprise, the book has an appendix on patchworking, which is the first English publication of the original text by Oleg Viro.” (Alex Degtyarev, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 123, 2021)
“The book is written in a very clear style, many topics are illustrated by various nice pictures, visual diagrams, etc. … this book is comprehensible, interesting and useful for graduate and post-graduate students; it is also very valuable for advanced researchers, lecturers, and practicians working in singularity theory, algebraic geometry, topology, combinatorics, tropical geometry and in other fields of mathematics and its applications.” (Aleksandr G. Aleksandrov, zbMATH 1411.14001, 2019)
Authors and Affiliations
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Fachbereich Mathematik, TU Kaiserslautern, Kaiserslautern, Germany
Gert-Martin Greuel, Christoph Lossen
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School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
Eugenii Shustin
Bibliographic Information
Book Title: Singular Algebraic Curves
Book Subtitle: With an Appendix by Oleg Viro
Authors: Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-03350-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-03349-1Published: 10 January 2019
eBook ISBN: 978-3-030-03350-7Published: 30 December 2018
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XX, 553
Number of Illustrations: 74 b/w illustrations
Topics: Algebraic Geometry