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Selected Works of Phillip A. Griffiths with Commentary: Analytic Geometry
Edited by: Maurizio Cornalba, Università di Pavia, Italy, Mark L. Green, University of California, Los Angeles, CA, and Wilfried Schmid, Harvard University, Cambridge, MA
A co-publication of the AMS and International Press.
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Collected Works
2003; 654 pp; hardcover
Volume: 18
ISBN-10: 0-8218-2086-9
ISBN-13: 978-0-8218-2086-5
List Price: US$109
Member Price: US$87.20
Order Code: CWORKS/18.1
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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.

Readership

Graduate students and research mathematicians interested in algebraic and differential geometry.

Table of Contents

Part I. Analytic Geometry
  • Commentary on Vector bundles
Vector Bundles
  • The extension problem for compact submanifolds of complex manifolds I
  • The extension problem in complex analysis II; embeddings with positive normal bundle
  • Hermitian differential geometry, Chern classes, and positive vector bundles
  • Period spaces and Hodge theory
  • Locally homogeneous complex manifolds
  • Recent developments in Hodge theory: A discussion of techniques and results
  • Real homotopy theory of Kähler manifolds
Analytic geometry
  • Holomorphic mapping into canonical algebraic varieties
  • A defect relation for equidimensional holomorphic mappings between algebraic varieties
  • Complex differentiable and integral geometry and curvature integrals associated to singularities of complex analytic varieties
  • Analytic cycles and vector bundles on non-compact algebraic varieties
  • Two applications of algebraic geometry to entire holomorphic mappings
  • Acknowledgments
  • Selected titles
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