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Selected Works of Phillip A. Griffiths with Commentary: Algebraic Geometry
Edited by: Enrico Arbarello, Università "La Sapienza", Rome, Italy, and Joe Harris, Harvard University, Cambridge, MA
A co-publication of the AMS and International Press.
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Collected Works
2003; 782 pp; hardcover
Volume: 18
ISBN-10: 0-8218-2087-7
ISBN-13: 978-0-8218-2087-2
List Price: US$109
Member Price: US$87.20
Order Code: CWORKS/18.2
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This item is also sold as part of the following set: CWORKS/18

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.

This book is jointly published by the AMS and the International Press.

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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