Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, #65)

by Raymond O. Wells

Oscar Garcia-Prada (Appendix)

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A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.

  • ISBN13 9781441925350
  • Publish Date 23 November 2010 (first published 31 October 2007)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition Softcover reprint of hardcover 3rd ed. 2008
  • Format Paperback
  • Pages 299
  • Language English