The geometry of sporadic ${\mathbb{C}}^{\ast }$-embeddings into ${\mathbb{C}}^2$

Mariusz Koras, Karol Palka, Peter Russell

A closed algebraic embedding of ${\mathbb{C}}^{\ast }={\mathbb{C}}^1\setminus \{0\}$ into ${\mathbb{C}}^2$ is 'sporadic' if for every curve $A\subseteq {\mathbb{C}}^2$ isomorphic to an affine lin…