Reading list

There are a number of books and notes on higher dimensional geometry. Here is a somewhat random list sorted chronologically:

Young Person's guide to canonical singularities: Reid (Algebraic Geometry Bowdoin 1985)

The structure of algebraic threefolds: an introduction to Mori's program: Kollár (Bulletin of AMS 1987)

Introduction to the Minimal Model Program: Kawamata, Matsuda, Matsuki (Advanced Studies in Pure Mathematics 1987)

Higher Dimensional Complex Geometry: Clemens, Kollár, Mori (Asterisque 1988)

Flips and Abundance: Kollár et al (Asterisque 1991)

Birational Geometry of Algebraic Varieties: Kollár, Mori (CUP 1998)

Positivity in Algebraic Geometry, I & II: Lazarseld (Springer 2004)