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Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified (Pure and Applied Mathematics) PDF

333 Pages·2005·2.662 MB·English
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by Vincenzo Ancona, Bernard Gaveau| 2005| 333 pages| 2.662| English

About 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 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.

Detailed Information

Author:Vincenzo Ancona, Bernard Gaveau
Publication Year:2005
ISBN:9781420026528
Pages:333
Language:English
File Size:2.662
Format:PDF
Price:FREE
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