One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has develo[...]
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Jnos Kollr provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kol[...]
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.[...]