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PreprintarXiv licencearXiv

K3 surfaces with finite automorphism group in positive characteristic

Abstract

We classify K3 surfaces with finite automorphism group in positive characteristic. The classification is the same as over the complex numbers, except when the base field is 𝔽̅p.

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BibTeX
@misc{vlachos2026surfaces,
  title = {{K3 surfaces with finite automorphism group in positive characteristic}},
  author = {Alexandros Vlachos},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35899},
  eprint = {2610.35899},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35899},
}
RIS
TY  - UNPB
TI  - K3 surfaces with finite automorphism group in positive characteristic
AU  - Alexandros Vlachos
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.35899
UR  - https://arxiv.org/abs/2610.35899
AB  - We classify K3 surfaces with finite automorphism group in positive characteristic. The classification is the same as over the complex numbers, except when the base field is 𝔽̅_p.
ER  -