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PreprintarXiv licencearXiv

Frobenius splitting for Fano threefolds

Abstract

We prove that every smooth Fano threefold of characteristic p>5 is quasi-F-split. Moreover, if p>11, then it is F-split.

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BibTeX
@misc{tanaka2026frobenius,
  title = {{Frobenius splitting for Fano threefolds}},
  author = {Hiromu Tanaka},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23639},
  eprint = {2609.23639},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23639},
}
RIS
TY  - UNPB
TI  - Frobenius splitting for Fano threefolds
AU  - Hiromu Tanaka
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23639
UR  - https://arxiv.org/abs/2609.23639
AB  - We prove that every smooth Fano threefold of characteristic p>5 is quasi-F-split. Moreover, if p>11, then it is F-split.
ER  -