Mathematics > Algebraic Geometry
arXiv:2408.13080 (math)
[Submitted on 23 Aug 2024 (v1), last revised 16 Jun 2026 (this version, v2)]
Abstract:Let $\mathcal F_{8,2\times\frac12(1,1,1)}$ be the moduli space of genus $8$ Fano $3$-folds with two terminal quotient singularities of type $\frac12(1,1,1)$. We prove that $\mathcal F_{8,2\times\frac12(1,1,1)}$ is rational. Moreover, we show that a general member of this family is K-stable.
Submission history
From: Alex Massarenti [view email]
[v1]
Fri, 23 Aug 2024 14:03:20 UTC (16 KB)
[v2]
Tue, 16 Jun 2026 18:08:51 UTC (58 KB)
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