English

A short course on multiplier ideals

Algebraic Geometry 2009-01-07 v1 Complex Variables

Abstract

These notes are the write-up of my 2008 PCMI lectures on multiplier ideals. They aim to give an introduction to the algebro-geometric side of the theory, with an emphasis on its global aspects. The focus is on concrete examples and applications. The lectures take into account a number of recent perspectives, including adjoint ideals and the resulting simplifications in Siu's theorem on plurigenera in the general type case. While the notes refer to my book [PAG] and other sources for some technical points, the conscientious reader should arrive at a reasonable grasp of the machinery after working through these lectures.

Keywords

Cite

@article{arxiv.0901.0651,
  title  = {A short course on multiplier ideals},
  author = {Robert Lazarsfeld},
  journal= {arXiv preprint arXiv:0901.0651},
  year   = {2009}
}

Comments

Notes from 2008 PCMI lectures

R2 v1 2026-06-21T11:57:57.023Z