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PreprintarXiv licencearXiv

Asymptotic Counting of Singular Fibers of Genus g

  • Qiyang Kong
  • Xiao-Lei Liu
  • Jiayao Wang
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Abstract

Motivated by the effective form of Shafarevich's conjecture, we prove that the number of classes of singular fibers of genus g has the exact asymptotic order gΘ(g).

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Cite

BibTeXRIS
BibTeX
@misc{kong2026asymptotic,
  title = {{Asymptotic Counting of Singular Fibers of Genus $g$}},
  author = {Qiyang Kong and Xiao-Lei Liu and Jiayao Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15149},
  eprint = {2609.15149},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15149},
}
RIS
TY  - UNPB
TI  - Asymptotic Counting of Singular Fibers of Genus g
AU  - Qiyang Kong
AU  - Xiao-Lei Liu
AU  - Jiayao Wang
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15149
UR  - https://arxiv.org/abs/2609.15149
AB  - Motivated by the effective form of Shafarevich's conjecture, we prove that the number of classes of singular fibers of genus g has the exact asymptotic order g^Θ(g).
ER  -