Lecture notes on the Ein-Popa extension result

2009/04/06 by Nefton Pali, Pali, Nefton
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.CV #msc:14J32

paper · pdf · doi:10.48550/arxiv.0904.0842

20 pages. Expanded version

arxiv created 2009/05/30 · arxiv updated 2009/12/01

Abstract

These are lecture notes on a recent remarkable preprint of Ein-Popa, which simplifies the algebraic proof of the finite generation of the canonical ring given by the team BCHM. The Ein-Popa extension result has been translated in the analytic language by Berndson-Paun and Paun. In these notes we follow the analytic language used in Berndson-Paun and Paun. The author of this manuscript does not claim any originality of the main ideas and arguments which are due to Ein-Popa, based in their turn in the ideas of Hacon-McKernan, Takayama and Siu.

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