Hussain–Ma–Yau–Zuo's contact invariance conjecture for higher Nash blowup algebras
Let fff and ggg be germs in the convergent power series ring Cx\mathbb C\\{\mathbf{x}\\}Cx, with f(0)=g(0)=0f(\mathbf{0})=g(\mathbf{0})=0f(0)=g(0)=0. Two germs are contact equivalent at the origin if on…