Isolated Singular Points on Complete Intersections

This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.

E. J. N. Looijenga (Author)

9780521286749, Cambridge University Press

Paperback, published 1 March 1984

216 pages
22.7 x 15.1 x 1.3 cm, 0.31 kg

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.

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.

Subject Areas: Algebra [PBF]