What question did this study set out to answer?

The aim is to investigate the space of foliations in projective spaces over algebraically closed fields of positive characteristic.

The space of foliations on projective spaces in positive characteristic

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The aim is to investigate the space of foliations in projective spaces over algebraically closed fields of positive characteristic.
Focus on codimension one foliations
Analyze irreducible components in low degrees
Establish stability of logarithmic 1-forms under deformation
Document the variation of irreducible components with base field characteristic
Establish a characteristic-independent version of Calvo-Andrade's stability
Provide insights into the behavior of foliations in positive characteristic settings

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This work examines foliations in projective spaces, revealing their stability under deformation in specific cases.

Mendson et al. (2026) studied this question.

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