| Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified Contributor(s): Ancona, Vincenzo (Author), Gaveau, Bernard (Author) |
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ISBN: 0849337399 ISBN-13: 9780849337390 Publisher: CRC Press OUR PRICE: $190.00 Product Type: Hardcover - Other Formats Published: August 2005 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Geometry - General |
| Dewey: 515.37 |
| LCCN: 2005048467 |
| Series: Monographs and Textbooks in Pure and Applied Mathematics |
| Physical Information: 0.9" H x 6.54" W x 9.32" (1.26 lbs) 332 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |