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.
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Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France
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Paperback. Condition: New. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry. Seller Inventory # LU-9780521718011
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Condition: New. 2007. 1st Edition. Paperback. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Translator(s): Schneps, Leila. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 334 pages, 30 exercises. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 225 x 152 x 19. Weight in Grams: 498. Series: Cambridge Studies in Advanced Mathematics. 334 pages, 30 exercises. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Cateogry: (P) Professional & Vocational. BIC Classification: PBMW. Dimension: 225 x 152 x 19. Weight: 536. Translator(s): Schneps, Leila. . . . . . Seller Inventory # V9780521718011
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Condition: New. 2007. 1st Edition. Paperback. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Translator(s): Schneps, Leila. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 334 pages, 30 exercises. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 225 x 152 x 19. Weight in Grams: 498. Series: Cambridge Studies in Advanced Mathematics. 334 pages, 30 exercises. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Cateogry: (P) Professional & Vocational. BIC Classification: PBMW. Dimension: 225 x 152 x 19. Weight: 536. Translator(s): Schneps, Leila. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780521718011
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Paperback. Condition: new. Paperback. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry. This is a completely self-contained modern introduction to Kaehlerian geometry and Hodge structure. The author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. Aimed at students, the text is complemented by exercises which provide useful results in complex algebraic geometry. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521718011
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