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Families of Varieties of General Type

Author(s): János Kollár

ISBN: 9781009346108
Publication Date: 20/4/2023
Format: Hardback
Regular price £130.00 GBP
Regular price Sale price £130.00 GBP

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 A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.