Singularities of Plane Curves
Singularities of Plane Curves
$81.99
USDThis book provides a comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves, covering both its classical and its modern aspects. The book gives a unified treatment, with complete proofs, presenting modern results which have only ever appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference, and includes new, previously unpublished results as well as applications to algebra and algebraic geometry. This book will be useful as a reference text for researchers in the field. It is also suitable as a textbook for postgraduate courses on singularities, or as a supplementary text for courses on algebraic geometry (algebraic curves) or commutative algebra (valuations, complete ideals).
- Based on courses given by the author in Barcelona
- Author is authority on this subject
- Provides a unique approach to this subject
Reviews & endorsements
"I like this book very much. The monograph offers a complete easy reading on singularities of complex plane curves and I think it is a very useful text for a postgraduate course in the subject." Mathematical Reviews
Product details
September 2000Paperback
9780521789592
364 pages
228 × 154 × 22 mm
0.52kg
12 b/w illus. 124 exercises
Available
Table of Contents
- Preface
- Preliminaries
- 1. Newton-Puiseux algorithm
- 2. First local properties of plane curves
- 3. Infinitely near points
- 4. Virtual multiplicities
- 5. Analysis of branches
- 6. Polar germs and related invariants
- 7. Linear families of germs
- 8. Valuations and complete ideals
- A. Applications to affine geometry.
