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PreprintarXiv licencearXiv

Stein degree over fields of characteristic zero

Abstract

We show that the Stein degree of horizontal divisors on generalised log Calabi-Yau fibrations or certain vertical divisors of Fano type fibrations over arbitrary fields of characteristic zero is bounded by constants that are independent on the ground field.

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BibTeX
@misc{birkar2026stein,
  title = {{Stein degree over fields of characteristic zero}},
  author = {Caucher Birkar and Santai Qu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.16205},
  eprint = {2610.16205},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.16205},
}
RIS
TY  - UNPB
TI  - Stein degree over fields of characteristic zero
AU  - Caucher Birkar
AU  - Santai Qu
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.16205
UR  - https://arxiv.org/abs/2610.16205
AB  - We show that the Stein degree of horizontal divisors on generalised log Calabi-Yau fibrations or certain vertical divisors of Fano type fibrations over arbitrary fields of characteristic zero is bounded by constants that are independent on the ground field.
ER  -