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arXiv · 2112.07001

Rationality of Fano threefolds with terminal Gorenstein singularities, II

Yuri Prokhorov
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Abstract

We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathrm{\rk}\, \mathrm{\Pic}(X)=1$, $(-K_X)^3\ge 8$, and $\mathrm{\rk}\, \mathrm{\Cl}(X)\le 2$.

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Yuri Prokhorov. 2021-12-13. Rationality of Fano threefolds with terminal Gorenstein singularities, II. https://arxiv.org/abs/2112.07001

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