Cover of Mixed Hodge Structures and Singularities by Kulikov, Valentine S., Bollobas, Bela, Fulton, W., ISBN 9780521620604
Algebraic

Mixed Hodge Structures and Singularities

MIXED HODGE STRUCTURES & SINGU

Contributor(s): Author , Editor , Editor Format: Hardback

Hardback · ISBN 9780521620604

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Key Specifications

ISBN 9780521620604
Subtitle MIXED HODGE STRUCTURES & SINGU
Publisher Cambridge University Press
Publication date May 1998
Language English
MRP £121.00 GBP
Page count 212
Item weight 107 g

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.