A counterexample to Tian's Stabilization Conjecture
Algebraic Geometry
2024-12-04 v1 Differential Geometry
Abstract
It was conjectured by Tian that the global log canonical threshold (known as the -invariant) is equal to the level log canonical threshold (known as the -invariant) for all sufficiently large . A weaker folklore conjecture has been that the invariants are eventually monotone. We provide a counterexample to both conjectures.
Cite
@article{arxiv.2412.02683,
title = {A counterexample to Tian's Stabilization Conjecture},
author = {Chenzi Jin},
journal= {arXiv preprint arXiv:2412.02683},
year = {2024}
}