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Families of Varieties of General Type
János Kollár
出版Cambridge University Press, 2023-04-20
主題Mathematics / TopologyMathematics / Geometry / AlgebraicMathematics / Number Theory
ISBN10093461489781009346146
URLhttp://books.google.com.hk/books?id=DqC3EAAAQBAJ&hl=&source=gbs_api
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註釋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 A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.