English

Foliations on smooth algebraic surfaces over positive characteristic

Algebraic Geometry 2022-06-16 v1

Abstract

We investigate the notion of the pp-divisor for foliations on a smooth algebraic surface defined over a field of positive characteristic pp and we study some of their properties. We present a structure theorem for the pp-divisor of foliations in the projective plane and the Hirzebruch surfaces where we show that, under certain conditions, such pp-divisors are reduced.

Keywords

Cite

@article{arxiv.2206.07076,
  title  = {Foliations on smooth algebraic surfaces over positive characteristic},
  author = {Wodson Mendson},
  journal= {arXiv preprint arXiv:2206.07076},
  year   = {2022}
}

Comments

24 pages

R2 v1 2026-06-24T11:51:14.739Z