Mixed Hodge Structures and Singularities (Hardcover) (ISBN-13: 9780521620604)

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.

Author: Valentine S. Kulikov
ISBN-10: 0521620600
ISBN-13: 9780521620604
Publisher: Cambridge University Press
Language: English
Published: 04/27/1998
Pages: 212
Format: Hardcover
Weight: 1.06lbs
Size: 9.00h x 6.00w x 0.63d