3 citations · 3 across the 6 of their papers we have counts for
8 papers
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…
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…
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…
Arithmetic aspects of the Jouanolou foliation
Wodson Mendson
We investigate the structure of the -divisor for the Jouanolou foliation where we show, under some conditions, that it can be irreducible or has a -factor. We study the reduc…
Codimension one foliations in positive characteristic
Wodson Mendson, Jorge Vitório Pereira
We investigate the geometry of codimension one foliations on smooth projective varieties defined over fields of positive characteristic with an eye toward applications to the struc…
Foliations on smooth algebraic surfaces over positive characteristic
Wodson Mendson
We investigate the notion of the -divisor for foliations on a smooth algebraic surface defined over a field of positive characteristic and we study some of their properties.…
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…