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math.AG2026
An arithmetic integrability result for codimension-one foliations on complex projective spaces
Víctor León, Bruno Scárdua
Let $\F$ be a codimension-one holomorphic foliation of degree on $\PP^n$, , admitting an invariant hyperplane . We study the extremal situation in which $S=(H\cap\Si…
math.AG2018
Integrable deformations of foliations: a generalization of Ilyashenko's result
Dominique Cerveau, Bruno Scárdua
We study analytic deformations of holomorphic differential 1-forms. The initial 1-form is exact homogeneous and the deformation is by polynomial integrable 1-forms. We investigate…
math.AG2018
On first order deformations of homogeneous foliations
Ariel Molinuevo, Bruno Scárdua
We study analytic deformations of holomorphic foliations given by homogeneous integrable one-forms in the complex affine space . The deformation is supposed to be of f…