Screen LibraryFamilies of varieties of general type /
"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 neces...
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| Main Authors: | |
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| Group Author: | ; |
| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge, United Kingdom : |
| Publication Dates: | 2023. |
| Literature type: | Book |
| Language: | English |
| Series: |
Cambridge tracts in mathematics ;
231 |
| Subjects: | |
| Summary: |
"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 A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks."- publisher |
| Carrier Form: | xviii, 471 pages ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages 446-461) and index. |
| ISBN: |
9781009346108 1009346105 |
| Index Number: | QA571 |
| CLC: | O187 |
| Call Number: | O187/K813-2 |
| Contents: | History of moduli problems -- One-parameter families -- Families of stable varieties -- Stable pairs over reduced base schemes -- Numerical flatness and stability criteria -- Moduli problems with flat divisorial part -- Cayley flatness -- Moduli of stable pairs -- Hulls and husks -- Ancillary results -- Minimal models and their singularities. |