2023/05/10 by Wodson Mendson, Mendson, Wodson · 1 citation
Mathematics · #13A35 #13N15 #32S65 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2305.06251
openalex publication_date 2023/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the structure of the p-divisor for the Jouanolou foliation where we show, under some conditions, that it can be irreducible or has a p-factor. We study the reduction modulo p of foliations on the projective plane and its applications to the problems of holomorphic foliations. We give new proof, via reduction modulo 2, of the fact that the Jouanolou foliation on the complex projective plane of odd degree, under some arithmetic conditions, has no algebraic solutions.