Hodge Theory and Complex Algebraic Geometry II: Volume 2

Name: Hodge Theory and Complex Algebraic Geometry II: Volume 2
Brand: Cambridge University Press
SKU: 9780521802833
Price: 3985 CZK
Availability: InStock

Autor: Claire Voisin

Jazyk:

Vazba: Pevná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

Odesíláme za 10-18 dnů

3 985 Kč

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topol...

Informace o knize

Autor

Claire Voisin

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2003

Stránek

364

EAN

9780521802833

ISBN

0521802830

Enbook ID

02043984

Vydavatel

Cambridge University Press

Hmotnost

685

Rozměry

24 x 229 x 152

Kompletní popis

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether–Lefschetz theorems, the generic triviality of the Abel–Jacobi maps, and most importantly Nori's connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.

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Hodge Theory and Complex Algebraic Geometry II: Volume 2

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také