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.
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
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.