Differential Forms on Singular Varieties (Chapman & Hall/CRC Pure and Applied Mathematics) - Hardcover
Synopsis
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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About the Author
Vincenzo Ancona, Bernard Gaveau
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Differential Forms on Singular Varieties: De Rham And Hodge Theory Simplified (Pure & Applied Mathematics, Band 273)
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Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified: 273 (Chapman & Hall/CRC Pure and Applied Mathematics)
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Chapman and Hall/CRC 2005-08-24, 2005
ISBN 10: 0849337399
ISBN 13: 9780849337390
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