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PreprintCC BY 4.0arXiv

Boundedness of Stein degrees in positive characteristics

  • Xintong Jiang
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Abstract

In this paper, we prove Shokurov's conjecture in relative dimension $1$-case in sufficiently large characteristics. Depending on this result, we prove the boundedness of Stein degrees for horizontal boundaries in a log Calabi-Yau fibration in sufficiently large characteristics.

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Cite

BibTeXRIS
BibTeX
@misc{jiang2026boundedness,
  title = {{Boundedness of Stein degrees in positive characteristics}},
  author = {Xintong Jiang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06002},
  eprint = {2609.06002},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06002},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Boundedness of Stein degrees in positive characteristics
AU  - Xintong Jiang
PY  - 2026
DA  - 2026/09/05
PB  - arXiv
DO  - 10.48550/arxiv.2609.06002
UR  - https://arxiv.org/abs/2609.06002
AB  - In this paper, we prove Shokurov's conjecture in relative dimension $1$-case in sufficiently large characteristics. Depending on this result, we prove the boundedness of Stein degrees for horizontal boundaries in a log Calabi-Yau fibration in sufficiently large characteristics.
ER  -