Selected works of Phillip A. Griffiths with commentary
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書誌事項
Selected works of Phillip A. Griffiths with commentary
American Mathematical Society , International Press, c2003
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注記
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 I. Analytic Geometry: Commentary on Vector bundles by P. Griffiths Vector Bundles: The extension problem for compact submanifolds of complex manifolds I by Ph. A. Griffiths The extension problem in complex analysis II
- embeddings with positive normal bundle by P. A. Griffiths Hermitian differential geometry, Chern classes, and positive vector bundles by P. A. Griffiths Period spaces and Hodge theory by P. A. Griffiths Locally homogeneous complex manifolds by P. A. Griffiths and W. Schmid Recent developments in Hodge theory: A discussion of techniques and results by P. Griffiths and W. Schmid Real homotopy theory of Kahler manifolds by P. R. Deligne, P. Griffiths, J. Morgan, and D. Sullivan Analytic geometry: Holomorphic mapping into canonical algebraic varieties by P. A. Griffiths A defect relation for equidimensional holomorphic mappings between algebraic varieties by J. Carlson and P. Griffiths Complex differentiable and integral geometry and curvature integrals associated to singularities of complex analytic varieties by P. Griffiths Analytic cycles and vector bundles on non-compact algebraic varieties by M. Comalba and P. Griffiths Two applications of algebraic geometry to entire holomorphic mappings by M. Green and P. Griffiths Acknowledgments Selected titles Part 2. Algebric Geometry: Introductory Comments to Part 2 by P. A. Griffiths Cycles and deformation theory: Some results on algebraic cycles on algebraic manifolds by P. A. Griffiths Complex-analytic properties of certain Zariski open sets on algebraic varieties by P. A. Griffiths The intermediate Jacobian of the cubic threefold by C. H. Clemens and P. A. Griffiths Abel's theorem: Variations on a theorem of Abel by P. A. Griffiths A Poncelet theorem in space by P. Griffiths and J. Harris Residues and zero-cycles on algebraic varieties by P. Griffiths and J. Harris Abel's theorem and webs by S. S. Chern and P. Griffiths Algebraic and differential geometry: Complex analysis and algebraic geometry by P. A. Griffiths Algebraic geometry and local differential geometry by P. Griffiths and J. Harris Loci of divisors: The variety of special linear systems on a general algebraic curve by P. Griffiths and J. Harris On the Noether-Lefschetz theorem and some remarks on codimension-two cycles by P. Griffiths and J. Harris Special divisors on algebraic curves by E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris Acknowledgments Selected Titles Part 3. Variations of Hodge Structures: Introductory Comments to Part 3 by P. A. Griffiths Periods of integrals: Periods of integrals on algebraic naifolds, I (Construction and properties of the modular varieties) by P. A. Griffiths Periods of integrals on algebraic manifolds, II (Local study of the period mapping) by P. A. Griffiths Periods of integrals on algebraic manifolds III (some global differential-geometric properties of the period mapping) by Ph. A. Griffiths On the periods of certain rational integrals I by P. A. Griffiths On the periods of certain rational integrals: II by P. A. Griffiths Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems by P. A. Griffiths Variations of Hodge structures: Infinitesimal variations of Hodge structure (I) by J. Carlson, M. Green, P. Griffiths, and J. Harris Infinitesimal variations of Hodge structure (II): An infinitesimal invariant of Hodge classes by P. Griffiths and J. Harris Infinitesimal variations of Hodge structure (III): Determinantal varieties and the infinitesimal invariant of normal functions by P. A. Griffiths Acknowledgements Selected Titles Part 4. Differential Systems: Introductory Comments to Part 4 by P. A. Griffiths Moving frames and differential geometry: On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry by P. Griffiths Differential systems and Hodge structure: Poincare and algebraic geometry by P. A. Griffiths Some observations on the infinitesimal period relations for regular threefolds with trivial canonical bundle by R. L. Bryant and P. A. Griffiths Reduction for constrained variational problems and $\int\frac{1} {2} \kappa^2 ds$ by R. L. Bryant and P. Griffiths Integrability: Linearizing flows and a cohomological interpretation of Lax equations by P. A. Griffiths The characteristic variety and its geometry: Some aspects of exterior differential systems by P. A. Griffiths Characteristic cohomology of differential systems (I): General theory by R. L. Bryant and P. A. Griffiths Characteristic cohomology of differential systems II: conservation laws for a class of parabolic
- equations by R. L. Bryant and P. A. Griffiths Hyperbolic exterior differential systems and their conservation laws, Part I by R. Bryant, P. Griffiths, and L. Hsu Hyperbolic exterior differential systems and their conservation laws, Part II by R. Bryant, P. Griffiths, and L. Hsu Acknowledgments Selected Titles.
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