On the cone conjecture for certain pairs of dimension at most 4

Fulin Xu

On the cone conjecture for certain pairs of dimension at most 4

Algebraic Geometry 2024-07-09 v2

Authors: Fulin Xu

Abstract

In this paper, by running MMP and considering the anti-canonical fibration, we prove the Morrison-Kawamata cone conjecture for klt Calabi-Yau pairs $(X,\Delta)$ such that $\dim X$ is at most $4$ , and the Iitaka dimension $\kappa(X,-K_X)$ is at least $\dim X - 2$ .

Keywords

Morrison-Kawamata cone conjecture klt Calabi-Yau pairs minimal model program anti-canonical fibration Iitaka dimension

Cite

@article{arxiv.2405.20899,
  title  = {On the cone conjecture for certain pairs of dimension at most 4},
  author = {Fulin Xu},
  journal= {arXiv preprint arXiv:2405.20899},
  year   = {2024}
}

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39 pages

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