Folder Birational under AG
arXiv:1006.5156 Finite generation of adjoint rings after Lazic: an introduction from arXiv Front: math.AG by Alessio Corti An introduction to all the key ideas of Lazic’s proof of the theorem on the finite generation of adjoint rings.
arXiv:1210.7382 Around and beyond the canonical class fra arXiv Front: math.AG av Vladimir Lazić This survey is an invitation to recent developments in higher dimensional birational geometry.
arXiv:1210.2670 Lectures on birational geometry fra arXiv Front: math.AG av Caucher Birkar Lecture notes of a course on birational geometry (taught at College de France, Winter 2011, with the support of Fondation Sciences Mathématiques de Paris). Topics covered: introduction into the subject, contractions and extremal rays, pairs and singularities, Kodaira dimension, minimal model program, cone and contraction, vanishing, base point freeness, flips and local finite generation, pl flips and extension theorems, existence of minimal models and Mori fibre spaces, global finite generation, etc.
nLab page on Birational geometry