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Hodge Theory and Complex Algebraic Geometry I Volume 1 Cambridge Studies in Advanced Mathematics

by [Voisin, Claire]

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Description

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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Product Details

  • Cambridge University Pres Brand
  • Feb 4, 2008 Pub Date:
  • 9780521718011 ISBN-13:
  • 0521718015 ISBN-10:
  • 334.0 pages Paperback
  • English Language
  • 9.01 in * 0.84 in * 5.99 in Dimensions:
  • 1 lb Weight: