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In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary), Parts 1-4, Collected Works, Volume 18), Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths's Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry whose length had precluded their inclusion in the original Selecta.The papers are organized along the three main topics: Differential Geometry and Hodge Theory (Part 5) and Algebraic Cycles (Part 6). In addition to his papers, Griffiths has been an author of a number of research monographs. To give the reader an overview of what these monographs contain, introductions to some of these are also included.
Robert L. Bryant, Duke University, Durham, NC.Mark L. Green, University of California, Los Angeles, CA.
J. Carlson, M. Green, and P. Griffiths, Variations of Hodge structure considered as an exterior and differential system: Old and new resultsM. Green and M. Kerr, Introduction from Mumford-Tate groups and domains: Their geometry and arithmeticM. Green and M. Kerr, Introduction from Introduction to Hodge theory, complex geometry, and representation theoryE. Berger, R. Bryant, and P. Griffiths, The Gauss equations and rigidity of isometric embeddingsR. L. Bryant, P. A. Griffiths, and D. Yang, Characteristics and existence of isometric embeddingsM. Green, P. Griffiths, and C. Robles, Extremal degenerations of polarized Hodge structuresP. Griffiths, C. Robles, and D. Toledo, Quotients of non-classical flag domains are not algebraicM. Green, P. Griffiths, and M. Kerr, Neron models and boundary components for degenerations of Hodge structure of mirror quintic typeM. Green, P. Griffiths, and M. Kerr, Neron models and limits of Abel-Jacobi mappings.