Tropical methods for stable octic double planes
Algebraic Geometry
2026-01-22 v4 Symplectic Geometry
Abstract
This paper has been written to illustrate the power of techniques from tropical geometry and mirror symmetry for studying the KSBA moduli space of surfaces on or near the Noether line. We focus on the moduli space of octic double planes (, ) and use methods from tropical and toric geometry to classify the strata corresponding to normal KSBA-stable surfaces, focusing on the non-Gorenstein case.
Cite
@article{arxiv.2405.02735,
title = {Tropical methods for stable octic double planes},
author = {Jonathan David Evans and Angelica Simonetti and Giancarlo Urzúa},
journal= {arXiv preprint arXiv:2405.02735},
year = {2026}
}
Comments
51 pages, 19 figures; v2 results strengthened, exposition streamlined, title made more specific; v3 fixed a gap in the classification; v4 some clarifications after referee report