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  3. Singularities of Plane Curves
  • Cited by 110
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
2000
Online ISBN:
9780511569326
DOI:
https://doi.org/10.1017/CBO9780511569326
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (276)
Information

Book description

This 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number of important classical results for which there was formerly no suitable reference, and includes new, previously unpublished results as well as applications to algebra and algebraic geometry.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).

Reviews

‘… it belongs on the shelf of every mathematician interested in curves and their singularities.’

K. H. Kiyek Source: Zentralblatt für Mathematik

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