Uniqueness of birational structures on Inoue surfaces

ShengYuan Zhao

We prove that the natural $({\mathrm{Aff}}_2(\mathbf{C}),{\mathbf{C}}^2)$-structure on an Inoue surface is the unique $(\operatorname{Bir}(\mathbb{P}^2),\mathbb{P}^2(\mathbf{C})…