Differential Forms On Singular Varieties: De Rham And Hodge Theory Simplified (Pure And Applied Mathematics)
Differential Forms On Singular Varieties: De Rham And Hodge Theory Simplified (Pure And Applied Mathematics)
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Book Summary
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.
ISBN-13
9780849337390
Language
English
Binding
Hard Bound
Publisher
Chapman and Hall/CRC
Publishing Date
2005-08-24
Product Edition
1
Total Pages
312

Differential Forms On Singular Varieties: De Rham And Hodge Theory Simplified (Pure And Applied Mathematics)

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Product Specifications
Book Summary
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.
Book Specifications
ISBN-13
9780849337390
Language
English
Binding
Hard Bound
Publisher
Chapman and Hall/CRC
Publishing Date
2005-08-24
Product Edition
1
Total Pages
312