Algebraic geometry
著者
書誌事項
Algebraic geometry
(Selected works of Phillip A. Griffiths with commentary, pt. 2)
American Mathematical Society , International Press, c2003
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注記
"Bibliography: Phillip A. Griffiths": p. xvii-xxvi
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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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