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Singular Points of Plane Curves : London Mathematical Society Student Texts - C. T. C. Wall

Singular Points of Plane Curves

London Mathematical Society Student Texts

Hardcover

Published: 1st September 2004
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Even the simplest singularities of planar curves, e.g. where the curve crosses itself, or where it forms a cusp, are best understood in terms of complex numbers. The full treatment uses techniques from algebra, algebraic geometry, complex analysis and topology and makes an attractive chapter of mathematics, which can be used as an introduction to any of these topics, or to singularity theory in higher dimensions. This book is designed as an introduction for graduate students and draws on the author's experience of teaching MSc courses; moreover, by synthesising different perspectives, he gives a novel view of the subject, and a number of new results.

'The text reflects the author's great expertise in the field in a masterly way ... His style of writing mathematics is ... motivating and highly inspiring. No doubt, this book will quickly become a widely used standard text on singularities of plane curves, and a valuable reference book, too.' Zentralblatt MATH

Preface
Preliminaries
PuiseuxÆ theorem
Resolutions
Contact of two branches
Topology of the singularity link
The Milnor fibration
Projective curves and their duals
Combinatorics on a resolution tree
Decomposition of the link complement and the Milnor fibre
The monodromy and the Seifert form
Ideals and clusters
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521839044
ISBN-10: 0521839041
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 1st September 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 2.5
Weight (kg): 0.73