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arXiv · 2609.27259

The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center

Jihao Liu·Weili Shao
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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.

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Jihao Liu, Weili Shao. 2026-09-23. The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center. https://arxiv.org/abs/2609.27259

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