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

Hodge Theory and Complex Algebraic Geometry I: Volume 1

Autor: Claire Voisin
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
3 898
The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure....

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2002
Stránek
336
EAN
9780521802604
ISBN
0521802601
Enbook ID
02043972
Hmotnost
646
Rozměry
236 x 160 x 28

Kompletní popis

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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