Plane Algebraic Curves

This book offers a detailed and comprehensive introduction to the theory of plane algebraic curves, providing a foundation for the comprehension and exploration of modern work on singularities. Includes many examples, and references to additional literature.

Lively introduction and overview of the field Anchors the subject in history, science and technology Clearly explains the tools from local analytic geometry and from algebraic and differential topology Presents a wealth of attractive geometric illustrations ? Includes supplementary material: sn.pub/extras

Auteur

Egbert Brieskorn was a Professor of Mathematics at the University of Bonn, Germany.

Horst Knörrer is a Professor of Mathematics at the ETH Zurich, Switzerland.

Contenu
I. History of algebraic curves.- 1. Origin and generation of curves.- 2. Synthetic and analytic geometry.- 3. The development of projective geometry.- II. Investigation of curves by elementary algebraic methods.- 4. Polynomials.- 5. Definition and elementary properties of plane algebraic curves.- 6. The intersection of plane curves.- 7. Some simple types of curves.- III. Investigation of curves by resolution of singularities.- 8. Local investigations.- 9. Global investigations.- Bibliography.- Index.