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PreprintCC BY 4.0arXiv

Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as ℤ2n-covers

Abstract

In this paper, we complete the computation of the global log canonical thresholds of Burniat surfaces. Additionally, we determine the global log canonical thresholds for certain infinite families of surfaces of general type, constructed as $ \mathbb{Z}_2^n $-covers of ℙ2 or ℙ1 × ℙ1.

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BibTeX
@misc{bin2026global,
  title = {{Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as $\mathbbZ_2^n$-covers}},
  author = {Nguyen Bin and Jheng-Jie Chen and YongJoo Shin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35678},
  eprint = {2609.35678},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35678},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as ℤ_2^n-covers
AU  - Nguyen Bin
AU  - Jheng-Jie Chen
AU  - YongJoo Shin
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35678
UR  - https://arxiv.org/abs/2609.35678
AB  - In this paper, we complete the computation of the global log canonical thresholds of Burniat surfaces. Additionally, we determine the global log canonical thresholds for certain infinite families of surfaces of general type, constructed as $ \mathbb{Z}_2^n $-covers of ℙ^2 or ℙ^1 × ℙ^1.
ER  -