Identifies combinatorial configurations making certain Calabi-Yau hypersurfaces Mori dream spaces with explicit Cox rings and proves the Morrison-Kawamata cone conjecture on the movable cone for selected non-Mori dream cases.
Hacon, and James McKernan,Existence of minimal models for varieties of log general type, J
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On Cox Rings of Calabi-Yau hypersurfaces
Identifies combinatorial configurations making certain Calabi-Yau hypersurfaces Mori dream spaces with explicit Cox rings and proves the Morrison-Kawamata cone conjecture on the movable cone for selected non-Mori dream cases.