Singular points configurations on quotients of the projective plane by $1$-foliations of degree $-1$ in characteristic $2$

TL;DR

This paper classifies the singular point configurations on quotients of the projective plane by degree -1 1-foliations in characteristic 2, advancing understanding of foliation-induced singularities in algebraic geometry.

Contribution

It provides a complete classification of singular point configurations on these quotients, a novel result in the study of foliations in characteristic 2.

Findings

Classification of singular configurations achieved

Identification of possible singularity types

Insights into foliation quotients in characteristic 2

Abstract

In this paper, we classify the configurations of the singular points which appear on the quotients of the projective plane by the $1$-foliations of degree $-1$ in characteristic $2$.