M. Lyubich, R. Radu, and R. Tanase
Hedgehogs in higher dimensions and their applications
Abstract

In this paper we study the dynamics of germs of holomorphic diffeomorphisms of $(\mathbb{C}^{n},0)$ with a fixed point at the origin with exactly one neutral eigenvalue. We prove that the map on any local center manifold of $0$ is quasiconformally conjugate to a holomorphic map and use this to transport results from one complex dimension to higher dimensions.

ims16-05
Araceli Bonifant, John Milnor
On Real and Complex Cubic Curves
Abstract

An expository description of smooth cubic curves in the real or complex projective plane.

arXiv:1603.09018v2