Isolated Singular Points on Complete Intersections

by E. J. N. Looijenga

Overview

Singularity theory is not a field in itself, but rather an application of algebraic geometry, analytic geometry and differential analysis. The adjective 'singular' in the title refers here to singular points of complex-analytic or algebraic varieties or mappings. A tractable (and very natural) class of singularities to study are the isolated complete intersection singularities, and much progress has been made over the past decade in understanding these and their deformations.

Product Details

ISBN-13:	9780521286749
Publisher:	Cambridge University Press
Publication date:	03/01/1984
Series:	London Mathematical Society Lecture Note Series , #77
Pages:	216
Product dimensions:	5.94(w) x 8.94(h) x 0.51(d)

Table of Contents

1. Examples of isolated singular points; 2. The milnor fibration; 3. Picard-Lefschetz formulas; 4. Critical space and discriminant space; 5. Relative monodromy; 6. Deformations; 7. Vanishing lattices, monodromy groups and adjacency; 8. The local Guass-Manin connection; 9. Applications of the local Gauss-Manin connection.