ENGLISH

Mixed Hodge Structures and Singularities

By Valentine S. Kulikov

Book information

Publisher
Cambridge University Press
Year
1998
ISBN
0521620600, 9780521620604
LCC
QA564 .K85 1998
Open Library ID
OL666313M
Language
english
Format
DJVU
Filesize
2 MB (2417932 bytes)
Series
Cambridge tracts in mathematics 132
Pages
202\202
Library
avaxhome.ws
Time added
2010-05-31 15:29:46

Description

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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