Work

Foliations on abelian surfaces in positive characteristic

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.32975

Authors: Andreatta, Fabrizio, Goren, Eyal Z.

Institutions: University of Milan, McGill University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: McGill University, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W7223709087

Cites: 1

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Related to: 10