Mixed Hodge structures and singularities

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Mixed Hodge structures and...

Mixed Hodge structures and singularities

Name: Mixed Hodge structures and singularities
ISBN: 9780521620604

Valentine S. Kulikov

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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.

Thể loại:

Mathematics

Năm:

1998

Nhà xuát bản:

CUP

Ngôn ngữ:

english

Trang:

209

ISBN 10:

0521620600