Failure of Boundedness for Generalised Log Canonical Surfaces
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.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Taiwanese Journal of Mathematics
- Volume
- -1
- Issue
- -1
- Pages
- 1–26
- Publication date
- 1 January 2026
- Language
- EN