BooksecrCollected Volumepp. 77–113

Minimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu

  • Caucher Birkar

    University of Cambridge, UK

  • Mihai Paun

    Université Henri Poincaré, Vandoeuvre les Nancy, France
Minimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu cover
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Abstract

In this paper, we give a proof of the existence of log minimal models for klt pairs (X/Z,B) with B big/Z. This then implies existence of klt log flips, finite generation of klt log canonical rings, and most of the other results of the Birkar–Cascini–Hacon–McKernan paper [3].