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arXiv · 1502.02104

Gorenstein $\mathbb{Q}$-homology projective planes

DongSeon Hwang·JongHae Keum·Hisanori Ohashi
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Abstract

We present the complete list of all singularity types on Gorenstein $\mathbb{Q}$-homology projective planes, i.e., normal projective surfaces of second Betti number one with at worst rational double points. The list consists of $58$ possible singularity types, each except two types supported by an example.

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DongSeon Hwang, JongHae Keum, Hisanori Ohashi. 2015-02-07. Gorenstein $\mathbb{Q}$-homology projective planes. https://doi.org/10.1007/s11425-015-4978-4

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