On the cone conjecture for certain pairs of dimension at most 4
Abstract
In this paper, by running MMP and considering the anticanonical fibration, we prove the MorrisonKawamata cone conjecture for klt CalabiYau pairs $(X,\Delta)$ such that $\dim X$ is at most $4$, and the Iitaka dimension $\kappa(X,K_X)$ is at least $\dim X  2$.
 Publication:

arXiv eprints
 Pub Date:
 May 2024
 DOI:
 10.48550/arXiv.2405.20899
 arXiv:
 arXiv:2405.20899
 Bibcode:
 2024arXiv240520899X
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 39 pages