Singularities on minimal models of algebraic varieties (Q5960198)

The paper under review gives a short tutorial introduction to the singularities arising from minimal model program. In doing this the author first recalls the main techniques and tools, such as Reid's canonical cover and discrepancy inequalities, that are used to study this singularities [for a more technical introduction see \textit{J. Kollár}, in: Algebraic geometry, Proc. Summer Res. Inst., Santa Cruz 1995, Proc. Symp. Pure Math. 62(pt. 1), 221--287 (1997; Zbl 0905.14002)]. Then he gives a treatment in dimension two and three and discusses some conjectures stated by Shokurov.