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We show some geometric properties of Enriques surfaces via \({\mathbb {Q}}\) -Gorenstein smoothings of Coble surfaces. In particular, we explicitly identify the Enriques lattice of the general fiber with the Coble-Mukai lattice. At the end, we discuss applications to Gorenstein \({\mathbb {Q}}\) -Homology projective planes with trivial canonical class.

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The Coble-Mukai Lattice from  \({\mathbb {Q}}\) -Gorenstein Deformations

  • 会议论文

  • 发表日期：

    2025年

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  • Giancarlo Urzúa

摘要

We show some geometric properties of Enriques surfaces via \({\mathbb {Q}}\) -Gorenstein smoothings of Coble surfaces. In particular, we explicitly identify the Enriques lattice of the general fiber with the Coble-Mukai lattice. At the end, we discuss applications to Gorenstein \({\mathbb {Q}}\) -Homology projective planes with trivial canonical class.