Singularities of the Minimal Model Program
Published on 25. March 2013
978-1-107-30304-1 (ISBN)
Description
This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 45 Tables, unspecified; 45 Plates, unspecified
File size
6,83 MB
ISBN-13
978-1-107-30304-1 (9781107303041)
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Schweitzer Classification
Other editions
Additional editions
Janos Kollar | Sandor Kovacs
Singularities of the Minimal Model Program
Book
02/2013
Cambridge University Press
€113.80
Shipment within 15-20 days
Persons
Janos Kollar is Professor of Mathematics and Donner Professor of Science at Princeton University. He has authored about 100 research papers and six books on algebraic geometry.
Content
Preface; Introduction; 1. Preliminaries; 2. Canonical and log canonical singularities; 3. Examples; 4. Adjunction and residues; 5. Semi-log-canonical pairs; 6. Du Bois property; 7. Log centers and depth; 8. Survey of further results and applications; 9. Finite equivalence relations; 10. Appendices; References; Index.
