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Families of Varieties of General Type

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 A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.

Author(s): János Kollár
Series: Cambridge Tracts in Mathematics, 231
Publisher: Cambridge University Press
Year: 2023

Language: English
Pages: 489
City: Cambridge