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Families of Varieties of General Type.

Families of Varieties of General Type.

・ISBN 978-1-009-34610-8 hard GB£ 142.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-34611-5

著者・編者Kollar, Janos,
シリーズCambridge Tracts in Mathematics
出版社(Cambridge University Press, UK)
出版年月2023
ページ数466 pp.
言語ENG
ニュース番号<M25-14139>

解説

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 A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.