A short course on multiplier ideals

Details A short course on multiplier ideals A short course on multiplier ideals

2009-01-06

arxiv.org/abs/0901.0651v1

Mathematics

Algebraic Geometry

Notes from 2008 PCMI lectures

Scientific paper

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.

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