PreprintarXiv licencearXiv
On the gap of thresholds
Abstract
We propose an algorithm to compute the gap numbers of log canonical thresholds, anticanonical thresholds, and ℝ-complementary thresholds for surface pairs with a given rational hyperstandard coefficient set. As an example, we compute these gap numbers for a special hyperstandard set that appears in the effective boundedness of n-complements for surface pairs.
BibTeX
@misc{he2026thresholds,
title = {{On the gap of thresholds}},
author = {Yang He and Vyacheslav V. Shokurov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30020},
eprint = {2610.30020},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30020},
}
RIS
TY - UNPB
TI - On the gap of thresholds
AU - Yang He
AU - Vyacheslav V. Shokurov
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.30020
UR - https://arxiv.org/abs/2610.30020
AB - We propose an algorithm to compute the gap numbers of log canonical thresholds, anticanonical thresholds, and ℝ-complementary thresholds for surface pairs with a given rational hyperstandard coefficient set. As an example, we compute these gap numbers for a special hyperstandard set that appears in the effective boundedness of n-complements for surface pairs.
ER -