Flatness conjecture for matrix Hessenberg degenerations over arbitrary sheets
Let h:[n]→[n]h:[n]\to[n]h:[n]→[n] be a Hessenberg function, let x∈gln(C)\mathsf{x}\in\mathfrak{gl}_n(\mathbb{C})x∈gln(C), and let φx,h\varphi_{\mathsf{x},h}φx,h be the one-parameter family constructed from the associ…