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arXiv · 2507.17633

Normal stable degenerations of Noether-Horikawa surfaces

Hiroto Akaike·Makoto Enokizono·Masafumi Hattori·Yuki Koto
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Abstract

We classify all normal stable Horikawa surfaces with only $\mathbb{Q}$-Gorenstein smoothable log canonical singularities. Furthermore, we provide a criterion for their global $\mathbb{Q}$-Gorenstein smoothability and describe the boundary strata of the moduli space of $\mathbb{Q}$-Gorenstein smoothable normal stable Horikawa surfaces.

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Hiroto Akaike, Makoto Enokizono, Masafumi Hattori, Yuki Koto. 2025-07-23. Normal stable degenerations of Noether-Horikawa surfaces. https://arxiv.org/abs/2507.17633

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