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PreprintarXiv licencearXiv

Semiample perturbations over arbitrary fields

  • Dae-Won Lee
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Abstract

Assuming projective log resolutions, we construct semiample perturbations over arbitrary fields that preserve all log canonical places. As an application, for divisor classes with finitely generated section rings, we characterize the existence of effective divisors yielding lc or klt pairs in terms of asymptotic orders of vanishing. We also derive minimal model and semiampleness results for generalized threefolds over F-finite fields of characteristic p>5.

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Cite

BibTeXRIS
BibTeX
@misc{lee2026semiample,
  title = {{Semiample perturbations over arbitrary fields}},
  author = {Dae-Won Lee},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07908},
  eprint = {2610.07908},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07908},
}
RIS
TY  - UNPB
TI  - Semiample perturbations over arbitrary fields
AU  - Dae-Won Lee
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.07908
UR  - https://arxiv.org/abs/2610.07908
AB  - Assuming projective log resolutions, we construct semiample perturbations over arbitrary fields that preserve all log canonical places. As an application, for divisor classes with finitely generated section rings, we characterize the existence of effective divisors yielding lc or klt pairs in terms of asymptotic orders of vanishing. We also derive minimal model and semiampleness results for generalized threefolds over F-finite fields of characteristic p>5.
ER  -