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This comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves covers both the classical and modern aspects of the field. It gives a unified treatment with complete proofs and presents modern results which have only appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference. With new, previously unpublished results as well as applications to algebra and algebraic geometry, this book will be useful as a reference text for researchers in the field.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.Read more
- 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
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- Date Published: September 2000
- format: Paperback
- isbn: 9780521789592
- length: 364 pages
- dimensions: 228 x 154 x 22 mm
- weight: 0.52kg
- contains: 12 b/w illus. 124 exercises
- availability: Available
Table of Contents
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.
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