9780521286749: LMS: 77 Isolated Singular Points

Sinossi

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

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Descrizione del libro

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.

Contenuti

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.

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