Positivity in Algebraic Geometry I

Released on by R.K. Lazarsfeld
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  • Positivity in Algebraic Geometry I Book Detail

  • Author : R.K. Lazarsfeld
  • Release Date : 2004-08-24
  • Publisher : Springer Science & Business Media
  • Genre : History
  • Pages : 414
  • ISBN 13 : 9783540225331
  • File Size : 58,58 MB
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Positivity in Algebraic Geometry I by R.K. Lazarsfeld PDF Summary

Book Description: 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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