Foliations on abelian surfaces in positive characteristic

Fabrizio Andreatta; Eyal Z. Goren

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arXiv · 2610.32975

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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BibTeX RIS

Fabrizio Andreatta, Eyal Z. Goren. 2026-10-23. Foliations on abelian surfaces in positive characteristic. https://arxiv.org/abs/2610.32975

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