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Positivity in Algebraic Geometry I

Positivity in Algebraic Geometry I


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About the Book

This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.

Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.


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Product Details
  • ISBN-13: 9783540225331
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Depth: 19
  • Height: 234 mm
  • No of Pages: 387
  • Series Title: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
  • Sub Title: Classical Setting : Line Bundles And Linear Series
  • Width: 156 mm
  • ISBN-10: 3540225331
  • Publisher Date: 24 Aug 2004
  • Binding: Hardback
  • Edition: 2004 ed.
  • Language: English
  • Returnable: N
  • Spine Width: 24 mm
  • Weight: 793 gr


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