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Technical Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified

Posted on 2010-04-14




Name:Technical Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified
ASIN/ISBN:0849337399
Publish Date:2005
Pages:312 pages
File size:2.1 Mb
Publish Date: 2005
ISBN: 0849337399
Pages: 312 pages
File Type: PDF
File Size: 2,1 MB
Other Info: Chapman & Hall/CRC
   Technical Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified

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Vincenzo Ancona, Bernard Gaveau, "Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified"

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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