INTERNATIONAL JOURNAL OF MATHEMATICS, v.25, no.9, pp.1450089-1 - 1450089-14
WORLD SCIENTIFIC PUBL CO PTE LTD
The geography of log models refers to the decomposition of the set of effective adjoint divisors into the polytopes defined by the resulting models obtained by the log minimal model program. We will describe the geography of log models in terms of the asymptotic base loci and Zariski decompositions of adjoint divisors. As an application, we prove some structure theorems on partially ample cones, thereby giving a partial answer to a question of B. Totaro.