Differential Forms on Singular Varieties : De Rham and Hodge Theory Simplified
Book Details
Format
Hardback or Cased Book
Book Series
Chapman & Hall/CRC Pure and Applied Mathematics
ISBN-10
0849337399
ISBN-13
9780849337390
Publisher
Taylor & Francis Ltd
Imprint
Taylor & Francis Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 24th, 2005
Print length
332 Pages
Weight
589 grams
Product Classification:
Calculus & mathematical analysis
Ksh 30,600.00
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Uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher dimension than the initial space.
Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher dimension than the initial space. It simplifies the theory through easily identifiable and well-defined weight filtrations. It also avoids discussion of cohomological descent theory to maintain accessibility. Topics include classical Hodge theory, differential forms on complex spaces, and mixed Hodge structures on noncompact spaces.
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