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Hodge Theory and Complex Algebraic Geometry I : Volume 1
by Claire Voisin and C. Voisin and Bela Bollobas




Overview -
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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More About Hodge Theory and Complex Algebraic Geometry I by Claire Voisin; C. Voisin; Bela Bollobas

 
 
 

Overview

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.


This item is Non-Returnable.

 

Details

  • ISBN-13: 9780521802604
  • ISBN-10: 0521802601
  • Publisher: Cambridge University Press
  • Publish Date: May 2002
  • Page Count: 336
  • Dimensions: 9.24 x 6.34 x 0.86 inches
  • Shipping Weight: 1.22 pounds

Series: Cambridge Studies in Advanced Mathematics #76

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