5 papers · 1 filter
Explicit integration, birational models and symmetries of Lins Neto's exceptional families of foliations
Adolfo Guillot, Luís Gustavo Mendes, Wodson Mendson +1
In 2002, Lins Neto introduced three remarkable one-parameter families of holomorphic foliations by curves on the complex projective plane, of degrees two, three, and four, whose pr…
Foliations with small singular set in arbitrary characteristic
Thiago Fassarella, Wodson Mendson, João Pedro dos Santos +1
This paper investigates the geometry of foliations on smooth algebraic varieties over an algebraically closed field of arbitrary characteristic . We address several specif…
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…
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…
Some arithmetic aspects of polynomial maps
Wodson Mendson
The Jacobian conjecture is a well-known open problem in affine algebraic geometry that asks if any polynomial endomorphism of the affine space ($n\geq…