May 4, 2024Open Access

Tropical methods for stable Horikawa surfaces

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Resumen

There are many strata in the KSBA boundary of the moduli space of octic double planes (K²=2, pg=3). We use methods from tropical and toric geometry to show that only three of these correspond to surfaces with at worst quotient singularities.

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Cite This Study

Evans et al. (Sat,) studied this question.

synapsesocial.com/papers/68e6b92bb6db64358763a35f https://doi.org/https://doi.org/10.48550/arxiv.2405.02735

Also Consider

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1On some boundary divisors in the moduli spaces of stable Horikawa surfaces with $K^2=2p_g-3$2025
2The KSBA moduli space of stable log Calabi-Yau surfaces2024
3Deformations of I-surfaces with elliptic singularities2024 · 1 citations
4The KSBA moduli space of stable log Calabi–Yau surfaces2025 · 2 citations
5Projective models for Hilbert squares of $K3$ surfaces2025

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