TY  - BOOK
AU  - Kollar,Janos
AU  - Kovacs,Sandor J.
ED  - ProQuest (Firm)
TI  - Singularities of the minimal model program
T2  - Cambridge tracts in mathematics
AV  - QA614.58 .K685 2013
U1  - 516.3/5 23
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Singularities (Mathematics)
KW  - Algebraic spaces
KW  - Electronic books
N1  - Includes bibliographical references and index; Machine generated contents note: 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; Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
N2  - "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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results"--
UR  - https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=1113117
ER  -