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arXiv · 1909.13266

Uniqueness of birational structures on Inoue surfaces

ShengYuan Zhao
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Abstract

We prove that the natural $(\operatorname{Aff} _2(\mathbf{C}),\mathbf{C}^2)$-structure on an Inoue surface is the unique $(\operatorname{Bir}(\mathbb{P}^2),\mathbb{P}^2(\mathbf{C}))$-structure, generalizing a result of Bruno Klingler which asserts that the natural $(\operatorname{Aff}_2(\mathbf{C}),\mathbf{C}^2)$-structure is the unique $(\operatorname{PGL} _3(\mathbf{C}),\mathbb{P}^2(\mathbf{C}))$-structure.

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ShengYuan Zhao. 2019-09-29. Uniqueness of birational structures on Inoue surfaces. https://arxiv.org/abs/1909.13266

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