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)

By: Phillip Griffiths (author), Mark Green (editor), Wilfried Schmid (editor), Robert Bryant (editor), Joe Harris (editor), Maurizio Cornalba (editor), David Morrison (editor), Enrico Arbarello (editor)Hardback

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Description

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.

Contents

Part 2. Algebric GeometryIntroductory comments to Part 2Cycles and deformation theorySome results on algebraic cycles on algebraic manifoldsComplex-analytic properties of certain Zariski open sets on algebraic varietiesThe intermediate Jacobian of the cubic threefoldAbel's theoremVariations on a theorem of AbelA Poncelet theorem in spaceResidues and zero-cycles on algebraic varietiesAbel's theorem and websAlgebraic and differential geometryComplex analysis and algebraic geometryAlgebraic geometry and local differential geometryLoci of divisorsThe variety of special linear systems on a general algebraic curveOn the Noether-Lefschetz theorem and some remarks on codimension-two cyclesSpecial divisors on algebraic curvesAcknowledgmentsSelected Titles

Product Details

  • ISBN13: 9780821820872
  • Format: Hardback
  • Number Of Pages: 782
  • ID: 9780821820872
  • ISBN10: 0821820877

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