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arXiv · 2206.07076

Foliations on smooth algebraic surfaces over positive characteristic

Wodson Mendson
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Abstract

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

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Wodson Mendson. 2022-06-14. Foliations on smooth algebraic surfaces over positive characteristic. https://arxiv.org/abs/2206.07076

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