The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
Year: 2026
Type: preprint
Abstract: We show that the minimum volume among normal stable surface pairs with nonzero reduced boundary containing a zero-dimensional non-klt center is $\frac{1}{42}$, and show that the surface pair attaining this minimum is unique up to isomorphism. As an application, we show that $\frac{1}{42}$ is an infinite accumulation point of the volume set of normal stable surfaces.
Source: arXiv (Cornell University)
Authors: Liu, Jihao, Shao, Weili
Institutions: Peking University, Xiamen University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214213346