Rationality of Fano threefolds with terminal Gorenstein singularities, II

preprint2022arXivOpen access

Abstract

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

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