| Mixed Hodge Structures and Singularities Contributor(s): Kulikov, Valentine S. (Author), Bollobas, Bela (Editor), Fulton, W. (Editor) |
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ISBN: 0521620600 ISBN-13: 9780521620604 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: May 1998 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Geometry - Algebraic - Mathematics | Topology - General |
| Dewey: 516.35 |
| LCCN: 97011978 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 0.63" H x 6" W x 9" (1.06 lbs) 212 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |