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

Vladimir Lazić; Keiji Oguiso; Thomas Peternell

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

Algebraic Geometry 2019-04-15 v1

Authors: Vladimir Lazić , Keiji Oguiso , Thomas Peternell

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.

Keywords

Morrison-Kawamata cone conjecture Abundance conjecture Ricci flat manifolds K-trivial varieties nef line bundle algebraic geometry

Cite

@article{arxiv.1611.00556,
  title  = {The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds},
  author = {Vladimir Lazić and Keiji Oguiso and Thomas Peternell},
  journal= {arXiv preprint arXiv:1611.00556},
  year   = {2019}
}

Comments

the 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

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

Abstract

Keywords

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