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.
Part 3. Variations of Hodge Structures: Introductory comments to part 3 Periods of integrals: Periods of integrals on algebraic naifolds, I (Construction and properties of the modular varieties) Periods of integrals on algebraic manifolds, II (Local study of the period mapping) Periods of integrals on algebraic manifolds III (some global differential-geometric properties of the period mapping) On the periods of certain rational integrals I On the periods of certain rational integrals: II Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems Variations of Hodge structures: Infinitesimal variations of Hodge structure (I) Infinitesimal variations of Hodge structure (II): An infinitesimal invariant of Hodge classes Infinitesimal variations of Hodge structure (III): Determinantal varieties and the infinitesimal invariant of normal functions Acknowledgments Selected Titles.