On the irreducibility of Hilbert scheme of surfaces of minimal degree
The Hilbert scheme of irreducible surfaces of degree \(m\) in projective \({\mathbb P}^{m+1}\) is irreducible, except for \(m=4\) when the Hilbert scheme has two components. The article provides a new proof of this result using generic coverings of the projective plane.
scientific article; zbMATH DE number 6137072