Year: 2026
Type: article
Abstract: Assuming the Morrison-Kawamata cone conjecture for the generic fiber of a Calabi-Yau fibration and the abundance conjecture, we show (1) the finiteness of weak log canonical models, (2) the existence of a weak rational polyhedral fundamental domain under the action of birational automorphism groups, and (3) the finiteness of varieties as targets of contractions. As an application, the finiteness of weak log canonical models and the weak Morrison-Kawamata cone conjecture in relative dimensions ≤ 2 \leq 2 are established.
Source: Journal of Algebraic Geometry
DOI: 10.1090/jag/864
Author: Zhan Li
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2028536060
OpenAlex ID: W4386644647