On the dual of the mobile cone

Sung Rak Choi

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arXiv · 1011.4646

On the dual of the mobile cone

Sung Rak Choi

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Abstract

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

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BibTeX RIS

Sung Rak Choi. 2010-11-21. On the dual of the mobile cone. https://arxiv.org/abs/1011.4646

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