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Hodge Theory and Complex Algebraic Geometry I: Volume 1 - 9780521718011

Un libro in lingua di Voisin Claire edito da CAMBRIDGE UNIVERSITY PRESS, 2007

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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.

Informazioni bibliografiche

  • Titolo del Libro in lingua: Hodge Theory and Complex Algebraic Geometry I: Volume 1
  • Lingua: English
  • AutoreVoisin Claire
  • Editore: CAMBRIDGE UNIVERSITY PRESS
  • Data di Pubblicazione: 20 Dicembre '07
  • Genere: Lingua Inglese
  • ISBN-10: 0521718015
  • EAN-13: 9780521718011