2010/11/21 by Sung Rak Choi, Choi, Sung Rak
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1011.4646
Clarified a few arguments
arxiv created 2011/05/08 · arxiv updated 2011/05/10
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.