Hodge Theory and Complex Algebraic Geometry I: Volume 1 Contributor(s): Voisin, Claire (Author), Voisin, C. (Author), Bollobas, Bela (Editor) |
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ISBN: 0521802601 ISBN-13: 9780521802604 Publisher: Cambridge University Press OUR PRICE: $160.55 Product Type: Hardcover - Other Formats Published: January 2003 Annotation: This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions. |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Algebraic - Medical - Mathematics | Topology - General |
Dewey: 516.35 |
LCCN: 2002017389 |
Series: Cambridge Studies in Advanced Mathematics (Hardcover) |
Physical Information: 0.86" H x 6.34" W x 9.24" (1.22 lbs) 336 pages |
Descriptions, Reviews, Etc. |
Contributor Bio(s): Voisin, Claire: - Claire Voisin is a Professor at the Institut des Hautes Etudes Scientifiques, France |