Families of Varieties of General Type(English, Hardcover, Kollar Janos)

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Families of Varieties of General Type(English, Hardcover, Kollar Janos) is written by Kollar Janos and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1009346105 (ISBN 10) and 9781009346108 (ISBN 13).

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 A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.