Rationality of Fano threefolds with terminal Gorenstein singularities, II

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 $\mathrm{\rk}\, \mathrm{\Cl}(X)\le 2$.

arXiv comment25 pages, submitted to Rendiconti del Circolo Matematico di Palermo, special volume on "Rationality problems"