C. T. C. Wall

Singular Points of Plane Curves (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 8. November 2004
• Englisch
• ISBN-13: 9780511262234
• Artikelnr.: 38183947

Inhaltsangabe

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.