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.

arXiv commentthe final version, to appear in the proceedings of the conference Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau manifolds, and Picard-Fuchs Equations, held at the Institut Mittag-Leffler, July 2015

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