On metric equivalence of the Brieskorn-Pham hypersurfaces

Alexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio

We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$. Moreover we show that if two algebraic $(n-1)$-dimensional cones $P, R\su…