most citedHolomorphic foliations of degree two and arbitrary dimension

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math.AG2026★ 2 cited

Holomorphic foliations of degree two and arbitrary dimension

Maurício Corrêa, Alan Muniz

We prove a complete classification of degree- foliations on in any dimension, assuming they are not algebraically integrable. If is such a foliation…

math.AG2024

Global residue formula for logarithmic indices of foliations

Maurício Corrêa, Diogo da Silva Machado

We prove a global residual formula in terms of logarithmic indices for one-dimensional holomorphic foliations, with isolated singularities, and logarithmic along normal crossing di…

math.AG2024

Dimension two holomorphic distributions on four-dimensional projective space

Omegar Calvo-Andrade, Maurício Corrêa, Julio Fonseca-Quispe

We study two-dimensional holomorphic distributions on . We classify dimension two distributions, of degree at most , with either locally free tangent sheaf or loca…