http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
This book establishes the moduli theory of stable varieties, giving the optimal approach to understanding families of varieties of general type. Starting from the Deligne-Mumford theory of the moduli of curves and using Mori's program as a main tool, the book develops the techniques necessary for a theory in all dimensions. The main results give all the expected general properties, including a projective coarse moduli space. A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness and Chapter 9 on hulls and husks.
History of moduli problems -- One-parameter families -- Families of stable varieties -- Stable pairs over reduced base schemes -- Numerical flatness and stability criteria -- Moduli problems with flat divisorial part -- Cayley flatness -- Moduli of stable pairs -- Hulls and husks -- Ancillary results -- Minimal models and their singularities.
János Kollár, Princeton University, New Jersey with the collaboration of Klaus Altmann, Freie Universitat Berlin, and Sándor J. Kovács, University of Washington.
Includes bibliographical references (pages 446-471) and index.