Failure of Boundedness for Generalised Log Canonical Surfaces
Algebraic Geometry
2025-04-10 v1
Abstract
In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can have arbitrary Kodaira dimension. This answers a question of Birkar and the first author.
Cite
@article{arxiv.2504.06482,
title = {Failure of Boundedness for Generalised Log Canonical Surfaces},
author = {Christopher Hacon and Xiaowei Jiang},
journal= {arXiv preprint arXiv:2504.06482},
year = {2025}
}
Comments
25 pages. Comments are welcome