PreprintarXiv licencearXiv
The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
Abstract
We show that the minimum volume among normal stable surface pairs with nonzero reduced boundary containing a zero-dimensional non-klt center is 1/42, and show that the surface pair attaining this minimum is unique up to isomorphism. As an application, we show that 1/42 is an infinite accumulation point of the volume set of normal stable surfaces.
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BibTeX
@misc{liu2026minimal,
title = {{The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center}},
author = {Jihao Liu and Weili Shao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27259},
eprint = {2609.27259},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27259},
}
RIS
TY - UNPB
TI - The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
AU - Jihao Liu
AU - Weili Shao
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27259
UR - https://arxiv.org/abs/2609.27259
AB - We show that the minimum volume among normal stable surface pairs with nonzero reduced boundary containing a zero-dimensional non-klt center is 1/42, and show that the surface pair attaining this minimum is unique up to isomorphism. As an application, we show that 1/42 is an infinite accumulation point of the volume set of normal stable surfaces.
ER -