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Hodge theory and complex algebraic geometry. Volume 2

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.

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  • "Hodge theory and complex algebraic geometry 2"
  • "Hodge theory and complex algebraic geometry two"

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description

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  • "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."@en
  • "The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text is complemented by exercises which provide useful results in complex algebraic geometry."@en
  • "This is a modern introduction to Kaehlerian geometry and Hodge structure. It 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 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. The book is is completely self-contained and can be used by students, while its content gives an up-to-date 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."
  • "The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles."@en

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  • "Electronic books"@en
  • "Electronic books"
  • "Livres électroniques"

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  • "Hodge theory and complex algebraic geometry. Volume 2"@en
  • "Hodge theory and complex algebraic geometry / 2"
  • "Hodge theory and complex algebraic geometry, I"@en
  • "Hodge theory and complex algebraic geometry. I"@en
  • "Hodge theory and complex algebraic geometry. I"
  • "Hodge theory and complex algebraic geometry II"
  • "Hodge theory and complex algebraic geometry II"@en
  • "Hodge theory and complex algebraic geometry. II"@en
  • "Hodge theory and complex algebraic geometry. II"
  • "Hodge theory and complex algebraic geometry 1"
  • "Hodge theory and complex algebraic geometry / 1"
  • "Hodge theory and complex algebraic geometry 2"
  • "Hodge theory and complex algebraic geometry"@en
  • "Hodge theory and complex algebraic geometry"
  • "Théorie de hodge et géométrie algébrique complexe"
  • "Hodge theory and complex algebraic geometry. 1"@en
  • "Hodge theory and complex algebraic geometry. 1"
  • "Hodge theory and complex algebraic geometry. 2"
  • "Hodge theory and complex algebraic geometry I"@en
  • "Hodge theory and complex algebraic geometry I"
  • "Théorie de Hodge et géométrie algébrique complexe"
  • "Hodge theory and complex algebraic geometry, II"
  • "Hodge theory and complex algebraic geometry. Volume 1"@en

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