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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mixed Hodge Structures and Singularities

Mixed Hodge Structures and Singularities

Kulikov, Valentine S.
Bollobas, Bela
Fulton, W.

Hardcover

Series: Cambridge Tracts in Mathematics, Book 132

General MathematicsGeometry

ISBN10: 0521620600
ISBN13: 9780521620604
Publisher: Cambridge University Press
Published: Apr 27 1998
Pages: 212
Weight: 1.06
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
This vital work is both an introduction to, and a survey of singularity theory, in particular, studying singularities by means of differential forms. Here, some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in the local situation to study the case of isolated singularities of holomorphic functions. The author introduces the Gauss-Manin connection on the vanishing cohomology of a singularity, that is on the cohomology fibration associated to the Milnor fibration, and draws on the work of Brieskorn and Steenbrink to calculate this connection, and the limit mixed Hodge structure. This is an excellent resource for all researchers in singularity theory, algebraic or differential geometry.

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