Lecture notes on the Ein-Popa extension result

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.

20 pages. Expanded version

References in corpus (2)

• Relative critical exponents, non-vanishing and metrics with minimal singularities
• On the extension of twisted holomorphic sections of singular hermitian line bundles