Isolated Singular Points on Complete Intersections

ISBN 10: 0511662726 ISBN 13: 9780511662720

Riassunto

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.

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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.

Dettagli dell'edizione

• Lingua: Inglese
• ISBN 10: 0511662726
• ISBN 13: 9780511662720
• Rilegatura: Printed Access Code
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile