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Isolated Singular Points on Complete Intersections

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Isolated Singular Points on Complete Intersections

Isolated Singular Points on Complete Intersections

E. J. N. Looijenga
March 1984
Paperback
9780521286749

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    Description

    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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    April 2011
    Adobe eBook Reader
    9780511892141
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    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    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.
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    • E. J. N. Looijenga
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