Moduli of distributions via singular schemes

On classification and moduli spaces of holomorphic distributions

“…Consider the subfunctor Fol P X of Dist P X of integrable distributions. Quallbrunn proved in [40,Proposition 6.3] that there is a subscheme F P (X) ⊂ D P (X) which represents Fol P X and this space is called the space of holomorphic foliations with Hilbert polynomial equal to P , see [21] for more details.…”