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(Ebook) Differential forms on singular varieties: De Rham and Hodge theory simplified by Vincenzo Ancona, Bernard Gaveau ISBN 9780849337390, 9781420026528, 0849337399, 1420026526

  • SKU: EBN-1006970
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Authors:Vincenzo Ancona, Bernard Gaveau
Pages:333 pages.
Year:2005
Editon:1
Publisher:Chapman and Hall/CRC
Language:english
File Size:2.14 MB
Format:pdf
ISBNS:9780849337390, 9781420026528, 0849337399, 1420026526
Categories: Ebooks

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(Ebook) Differential forms on singular varieties: De Rham and Hodge theory simplified by Vincenzo Ancona, Bernard Gaveau ISBN 9780849337390, 9781420026528, 0849337399, 1420026526

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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