Collected Works 2003; 2598 pp; hardcover Volume: 18 ISBN10: 0821810669 ISBN13: 9780821810668 List Price: US$335 Member Price: US$268 Order Code: 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 WorksAnalytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systemsare 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  P. Griffiths  Commentary on Vector bundles
Vector Bundles  Ph. A. Griffiths  The extension problem for compact submanifolds of complex manifolds I
 P. A. Griffiths  The extension problem in complex analysis II; embeddings with positive normal bundle
 P. A. Griffiths  Hermitian differential geometry, Chern classes, and positive vector bundles
 P. A. Griffiths  Period spaces and Hodge theory
 P. A. Griffiths and W. Schmid  Locally homogeneous complex manifolds
 P. Griffiths and W. Schmid  Recent developments in Hodge theory: A discussion of techniques and results
 P. R. Deligne, P. Griffiths, J. Morgan, and D. Sullivan  Real homotopy theory of Kähler manifolds
Analytic geometry  P. A. Griffiths  Holomorphic mapping into canonical algebraic varieties
 J. Carlson and P. Griffiths  A defect relation for equidimensional holomorphic mappings between algebraic varieties
 P. Griffiths  Complex differentiable and integral geometry and curvature integrals associated to singularities of complex analytic varieties
 M. Cornalba and P. Griffiths  Analytic cycles and vector bundles on noncompact algebraic varieties
 M. Green and P. Griffiths  Two applications of algebraic geometry to entire holomorphic mappings
 Acknowledgments
 Selected titles
Part 2. Algebric Geometry  P. A. Griffiths  Introductory Comments to Part 2
Cycles and deformation theory  P. A. Griffiths  Some results on algebraic cycles on algebraic manifolds
 P. A. Griffiths  Complexanalytic properties of certain Zariski open sets on algebraic varieties
 C. H. Clemens and P. A. Griffiths  The intermediate Jacobian of the cubic threefold
Abel's theorem  P. A. Griffiths  Variations on a theorem of Abel
 P. Griffiths and J. Harris  A Poncelet theorem in space
 P. Griffiths and J. Harris  Residues and zerocycles on algebraic varieties
 S. S. Chern and P. Griffiths  Abel's theorem and webs
Algebraic and differential geometry  P. A. Griffiths  Complex analysis and algebraic geometry
 P. Griffiths and J. Harris  Algebraic geometry and local differential geometry
Loci of divisors  P. Griffiths and J. Harris  The variety of special linear systems on a general algebraic curve
 P. Griffiths and J. Harris  On the NoetherLefschetz theorem and some remarks on codimensiontwo cycles
 E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris  Special divisors on algebraic curves
 Acknowledgments
 Selected Titles
Part 3. Variations of Hodge Structures  P. A. Griffiths  Introductory Comments to Part 3
Periods of integrals  P. A. Griffiths  Periods of integrals on algebraic naifolds, I (Construction and properties of the modular varieties)
 P. A. Griffiths  Periods of integrals on algebraic manifolds, II (Local study of the period mapping)
 Ph. A. Griffiths  Periods of integrals on algebraic manifolds III (some global differentialgeometric properties of the period mapping)
 P. A. Griffiths  On the periods of certain rational integrals I
 P. A. Griffiths  On the periods of certain rational integrals: II
 P. A. Griffiths  Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
Variations of Hodge structures  J. Carlson, M. Green, P. Griffiths, and J. Harris  Infinitesimal variations of Hodge structure (I)
 P. Griffiths and J. Harris  Infinitesimal variations of Hodge structure (II): An infinitesimal invariant of Hodge classes
 P. A. Griffiths  Infinitesimal variations of Hodge structure (III): Determinantal varieties and the infinitesimal invariant of normal functions
 Acknowledgments
 Selected Titles
Part 4. Differential Systems  P. A. Griffiths  Introductory Comments to Part 4
Moving frames and differential geometry  P. Griffiths  On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
Differential systems and Hodge structure  P. A. Griffiths  Poincaré and algebraic geometry
 R. L. Bryant and P. A. Griffiths  Some observations on the infinitesimal period relations for regular threefolds with trivial canonical bundle
 R. L. Bryant and P. Griffiths  Reduction for constrained variational problems and \(\int\frac{1}{2} \kappa^2 ds\)
Integrability  P. A. Griffiths  Linearizing flows and a cohomological interpretation of Lax equations
The characteristic variety and its geometry  P. A. Griffiths  Some aspects of exterior differential systems
 R. L. Bryant and P. A. Griffiths  Characteristic cohomology of differential systems (I): General theory
 R. L. Bryant and P. A. Griffiths  Characteristic cohomology of differential systems II: conservation laws for a class of parabolic equations
 R. Bryant, P. Griffiths, and L. Hsu  Hyperbolic exterior differential systems and their conservation laws, Part I
 R. Bryant, P. Griffiths, and L. Hsu  Hyperbolic exterior differential systems and their conservation laws, Part II
 Acknowledgments
 Selected Titles
