Bi-Lipschitz invariance of Newton polygons along gradient canyons

Piotr Migus, Laurenţiu Păunescu, Mihai Tibăr

We study bi-Lipschitz right-equivalence of holomorphic function germs $f:({\mathbb{C}}^2,0)\to (\mathbb{C},0)$ via polar arcs and gradient canyons. For a polar arc $\gamma$ we consider the…