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math.AG2025
Non-algebraicity of foliations via reduction modulo
João Paulo Figueredo, Wodson Mendson
Motivated by the Jouanolou foliation problem, we investigate the non-algebraicity of foliations by curves on . We present a criterion to show that such a…
math.AG2025
The space of foliations on projective spaces in positive characteristic
Wodson Mendson, Jorge Vitório Pereira
This work explores the space of foliations on projective spaces over algebraically closed fields of positive characteristic, with a particular focus on the codimension one case. It…