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Home > Mathematics and Science Textbooks > Mathematics > Geometry > Algebraic geometry > The Selected Works of Phillip a. Griffiths with Commentary: Algebraic Geometry(Collected Works)
The Selected Works of Phillip a. Griffiths with Commentary: Algebraic Geometry(Collected Works)

The Selected Works of Phillip a. Griffiths with Commentary: Algebraic Geometry(Collected Works)

          
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About the Book

Over the last four decades, Phillip Griffiths has been a central figure in mathematics. During this time, he made crucial contributions in several fields, including complex analysis, algebraic geometry, and differential systems. His books and papers are distinguished by a remarkably lucid style that invites the reader to understand not only the subject at hand, but also the connections among seemingly unrelated areas of mathematics. Even today, many of Griffiths' papers are used as a standard source on a subject.Another important feature of Griffiths' writings is that they often bring together classical and modern mathematics. The four parts of Selected Works - Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems - are organized according to the subject matter and are supplemented by Griffiths' brief, but extremely illuminating, personal reflections on the mathematical content and the times in which they were produced. Griffiths' Selected Works provide the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

Table of Contents:

Part 2. Algebric Geometry

  • Introductory comments to Part 2

Cycles and deformation theory

  • Some results on algebraic cycles on algebraic manifolds
  • Complex-analytic properties of certain Zariski open sets on algebraic varieties
  • The intermediate Jacobian of the cubic threefold

Abel's theorem

  • Variations on a theorem of Abel
  • A Poncelet theorem in space
  • Residues and zero-cycles on algebraic varieties
  • Abel's theorem and webs

Algebraic and differential geometry

  • Complex analysis and algebraic geometry
  • Algebraic geometry and local differential geometry

Loci of divisors

  • The variety of special linear systems on a general algebraic curve
  • On the Noether-Lefschetz theorem and some remarks on codimension-two cycles
  • Special divisors on algebraic curves
  • Acknowledgments
  • Selected Titles


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Product Details
  • ISBN-13: 9780821820872
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Returnable: Y
  • Sub Title: Algebraic Geometry
  • ISBN-10: 0821820877
  • Publisher Date: 30 Sep 2003
  • Binding: Hardback
  • No of Pages: 782
  • Series Title: Collected Works
  • Weight: 1578 gr


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