Mixed Hodge Structures and Singularities
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
ISBN-10
0521620600
ISBN-13
9780521620604
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 27th, 1998
Print length
212 Pages
Weight
444 grams
Dimensions
16.10 x 23.70 x 2.40 cms
Product Classification:
Differential & Riemannian geometryDifferential and Riemannian geometry
Ksh 21,800.00
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This 1998 book is both an introduction to, and a survey of, some topics of singularity theory, in which the author uses the language of algebraic geometry to strike a balance between the traditional approach to the subject and the more abstract homological approach.
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.
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