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arxiv: 0904.2936 · v1 · submitted 2009-04-19 · 🧮 math.AG · math.CV

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

classification 🧮 math.AG math.CV
keywords existencefiniteflipsgenerationminimalmodelsbirkar-cascini-hacon-mckernancanonical
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In this paper, we discuss a proof of existence of log minimal models or Mori fibre spaces 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 Birkar-Cascini-Hacon-McKernan paper.

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