Notes on the weak positivity theorems

Abstract

We discuss the (twisted) weak positivity theorem. We also treat some applications.

44 pages, a slightly revised version of my note circulated in August 2013, v2: minor revisions, v3: very minor revisions, v4: revision following referees' comments, v5: minor revisions

References in corpus (3)

• Introduction to the log minimal model program for log canonical pairs
• A refined Kodaira dimension and its canonical fibration
• On subadditivity of the logarithmic Kodaira dimension

Cited by in corpus (2)

• Some remarks on the minimal model program for log canonical pairs
• The weak Beauville--Bogomolov decomposition in characteristic $p\ge 0$