The Selected Works of Phillip A. Griffiths with Commentary: Algebraic geometry

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American Mathematical Soc., 2003 - Mathematics - 782 pages
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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.
 

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Contents

Introductory Comments to Part 1
3
Introductiory Comments to Part 4
4
Vector Bundles
13
Complexanalytic properties of certain Zariski open sets on algebraic vari
94
Periods of Integrals 11
110
The Characteristic Variety and Its Geometry
181
Gen
207
Variations on a Theorem of Abel Invent Math 35 1976 321390 223
353
with J Harris A Poncelet theorem in space Comment Math Helvetici
779
The extension problem for compact submanifolds of complex manifolds I
781
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About the author (2003)

Robert Bryant is the J. M. Kreps Professor in the Department of Mathematics at Duke University.
Phillip Griffiths is the director of the Institute for Advanced Study and professor in the Department of Mathematics at Duke University.
Daniel Grossman was an L. E. Dickson Instructor in the Department of Mathematics at the University of Chicago at the time of writing, and is now a consultant at the Chicago office of the Boston Consulting Group.

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