On the relative Morrison-Kawamata cone conjecture
Algebraic Geometry
2025-11-05 v8
Abstract
We relate the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces to the existence of Shokurov polytopes. For K3 fibrations, the existence of (weak) fundamental domains for movable cones is established. The relationship between the relative cone conjecture and the cone conjecture for its geometric or generic fibers is studied.
Keywords
Cite
@article{arxiv.2206.13701,
title = {On the relative Morrison-Kawamata cone conjecture},
author = {Zhan Li and Hang Zhao},
journal= {arXiv preprint arXiv:2206.13701},
year = {2025}
}
Comments
published version (which includes a correction to the proof of Theorem 2.5, Step 2)