
Singularities of the Minimal Model Program
Janos Kollar(Author)
Sandor Kovacs(Co-Author)
Cambridge University Press
Published on 21. February 2013
Book
Hardback
382 pages
978-1-107-03534-8 (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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.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
College/higher education
Illustrations
Worked examples or Exercises; 45 Tables, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 27 mm
Weight
769 gr
ISBN-13
978-1-107-03534-8 (9781107035348)
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Schweitzer Classification
Other editions
Additional editions

Janos Kollar | Sandor Kovacs
Singularities of the Minimal Model Program
E-Book
03/2013
Cambridge University Press
€79.99
Available for download

Janos Kollar
Singularities of the Minimal Model Program
E-Book
02/2013
Cambridge University Press
€66.49
Available for download
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.
Author
Princeton University, New Jersey
Co-Author
University of Washington
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.