The classification of smooth well-formed Fano weighted complete intersections

We show that the set of families of smooth well-formed Fano weighted complete intersections admits a natural partition with respect to the variance $\mathrm{v}\mathrm{a}\mathrm{r}(X)=\mathrm{c}\mathrm{o}\mathrm{i}\mathrm{n}\mathrm{d}(X)-\mathrm{c}\mathrm{o}\mathrm{d}\mathrm{i}\mathrm{m}(X)$. Moreover, we obtain the classification of smooth well-formed Fano weighted complete intersections of small variance. We also prove that the anticanonical linear system on a smooth well-formed Fano weighted complete intersection of anticanonical degree one is never base-point free.