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PreprintarXiv licencearXiv

Foliations on abelian surfaces in positive characteristic

  • Fabrizio Andreatta
  • Eyal Z. Goren
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Abstract

This paper studies foliations on abelian surfaces in positive characteristic. We provide an explicit description of all smooth foliations, linear and turbulent, and establish criteria for being p-closed. We explicitly determine the moduli spaces of such foliations. We give an application to the construction of p-closed foliations, with mild singularities, on Kummer K3-surfaces in positive characteristics.

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Cite

BibTeXRIS
BibTeX
@misc{andreatta2026foliations,
  title = {{Foliations on abelian surfaces in positive characteristic}},
  author = {Fabrizio Andreatta and Eyal Z. Goren},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32975},
  eprint = {2610.32975},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32975},
}
RIS
TY  - UNPB
TI  - Foliations on abelian surfaces in positive characteristic
AU  - Fabrizio Andreatta
AU  - Eyal Z. Goren
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32975
UR  - https://arxiv.org/abs/2610.32975
AB  - This paper studies foliations on abelian surfaces in positive characteristic. We provide an explicit description of all smooth foliations, linear and turbulent, and establish criteria for being p-closed. We explicitly determine the moduli spaces of such foliations. We give an application to the construction of p-closed foliations, with mild singularities, on Kummer K3-surfaces in positive characteristics.
ER  -