On the dual of the mobile cone

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Abstract

We prove that the mobile cone and the cone of curves birationally movable in codimension 1 are dual to each other in the (K + B)-negative part for a klt pair (X, B). This duality of the cones gives a partial answer to the problem posed by Sam Payne. We also prove the cone theorem and the contraction theorem for the expanded cone of curves birationally movable in codimension 1.

Original languageEnglish
Pages (from-to)87-100
Number of pages14
JournalMathematische Zeitschrift
Volume272
Issue number1-2
DOIs
Publication statusPublished - 2012 Jan 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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