On the dual of the mobile cone

Details On the dual of the mobile cone On the dual of the mobile cone

2010-11-21

arxiv.org/abs/1011.4646v3

Mathematics

Algebraic Geometry

Clarified a few arguments

Scientific paper

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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