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arXiv · 2212.06884

$\mathbb{Q}$-Fano threefolds of Fano index thirteen

Yuri Prokhorov
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Abstract

We show that a non-toric $\mathbb{Q}$-factorial terminal Fano threefold of Picard rank $1$ and Fano index $13$ is a weighted hypersurface of degree $12$ in $\mathbb{P}(3,4,5,6,7)$.

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Yuri Prokhorov. 2022-12-13. $\mathbb{Q}$-Fano threefolds of Fano index thirteen. https://doi.org/10.1017/9781009396233.009

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