ISBN 9780849337390,Differential Forms On Singular Varieties

Differential Forms On Singular Varieties

Author:

Ancona Gaveau

Publisher:

Taylor & Francis

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Publisher

Taylor & Francis

Publication Year 2005
ISBN-13

ISBN 9780849337390

ISBN-10 0849337399
Binding

Hardback

Number of Pages 311 Pages
Language (English)
Subject

Applied mathematics

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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