Аннотация:
Let $X$ be a complete intersection of two hypersurfaces $F_n$ and $F_k$ in $\mathbb P^5$ of degree $n$ and $k$, respectively, with $n\ge k$, such that the singularities of $X$ are nodal and $F_k$ is smooth. We prove that if the threefold $X$ has at most $(n+k-2)(n-1)-1$ singular points, then it is factorial.