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Differential Forms on Singular Varieties

De Rham and Hodge Theory Simplified

Differential Forms on Singular Varieties by Vincenzo Ancona
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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.
CRC Press; Read online
Title: Differential Forms on Singular Varieties
Author: Vincenzo Ancona; Bernard Gaveau
 
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