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

Hodge Theory and Complex Algebraic Geometry I: Volume 1

by Claire Voisin , C. Voisin , Bela Bollobas
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Book cover type: Hardcover
  • ISBN13: 9780521802604
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 336
  • Original Price: GBP 134.0
  • Language: English
  • Edition: N/A
  • Item Weight: 554 grams
  • BISAC Subject(s): Geometry / Algebraic

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.

Voisin, Claire: - Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France

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