The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds

Abstract

The aim of this survey paper is threefold: (a) to discuss the status of the Morrison-Kawamata cone conjecture, (b) to report on recent developments towards the Abundance Conjecture, and (c) to discuss the nef line bundle version of the Abundance Conjecture on K-trivial varieties.

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