Singular points of plane curves / C.T.C. Wall.

Format:

Book

Author/Creator:

Wall, C. T. C. (Charles Terence Clegg), author.

Contributor:

London Mathematical Society.

Series:

London Mathematical Society student texts ; 63.

London Mathematical Society student texts ; 63

Language:

English

Subjects (All):

Singularities (Mathematics)--Congresses.

Singularities (Mathematics).

Curves, Plane--Congresses.

Curves, Plane.

Physical Description:

1 online resource (xi, 370 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Language Note:

English

Summary:

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.

Contents:

Contents; Preface; 1 Preliminaries; 2 Puiseux' Theorem; 3 Resolutions; 4 Contact of two branches; 5 Topology of the singularity link; 6 The Milnor fibration; 7 Projective curves and their duals; 8 Combinatorics on a resolution tree; 9 Decomposition of the link complement and the Milnor fibre; 10 The monodromy and the Seifert form; 11 Ideals and clusters; References; Index

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-16242-4

0-511-61756-9

1-280-75010-3

9786610750108

0-511-26537-9

0-511-26609-X

0-511-26383-X

0-511-30879-5

0-511-26466-6

OCLC:

171140433