Mixed Hodge Structures and Singularities (Cambridge Tracts in Mathematics)

0 avg rating
( 0 ratings by Goodreads )
9780511758928: Mixed Hodge Structures and Singularities (Cambridge Tracts in Mathematics)
View all copies of this ISBN edition:

This 1998 book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of 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 will be an excellent resource for all researchers whose interests lie in singularity theory, and algebraic or differential geometry.

"synopsis" may belong to another edition of this title.


'Without any doubt, the author has covered a wealth of material on a highly advanced topic in complex geometry, and in this regard he has provided a great service to the mathematical community ... he has succeeded in providing a brilliant introduction to, and a comprehensive overview of, this contemporary central subject of complex geometry ... the entire text represents an irresistible invitation to the subject, and may be seen as a dependable pathfinder with regard to the vast existing original literature in the field.' W. Kleinert, Zentralblatt fur Mathematik und ihre Grenzgebiete

"About this title" may belong to another edition of this title.

(No Available Copies)

Search Books:

Create a Want

If you know the book but cannot find it on AbeBooks, we can automatically search for it on your behalf as new inventory is added. If it is added to AbeBooks by one of our member booksellers, we will notify you!

Create a Want

Other Popular Editions of the Same Title

9780521620604: Mixed Hodge Structures and Singularities (Cambridge Tracts in Mathematics, Vol. 132)

Featured Edition

ISBN 10:  0521620600 ISBN 13:  9780521620604
Publisher: Cambridge University Press, 1998