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Könyv Hodge Theory and Complex Algebraic Geometry I: Volume 1 Claire Voisin

Hodge Theory and Complex Algebraic Geometry I: Volume 1

Szerző: Claire Voisin
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Cambridge University Press
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
25 213 Ft
The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure....

Információk a könyvről

Szerző
Claire Voisin
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2007
oldal
334
EAN
9780521718011
ISBN
0521718015
Enbook ID
04399139
Kiadó
Cambridge University Press
Súly
506
Méretek
152 x 225 x 19

Teljes leírás

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.

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