Geodesic
Factoriality of Complete Intersections in~$\mathbb P^5$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 109-115

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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. 
@article{TM_2009_264_a12,
     author = {D. Kosta},
     title = {Factoriality of {Complete} {Intersections} in~$\mathbb P^5$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {109--115},
     publisher = {mathdoc},
     volume = {264},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_264_a12/}
}
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D. Kosta. Factoriality of Complete Intersections in~$\mathbb P^5$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 109-115. http://geodesic.mathdoc.fr/item/TM_2009_264_a12/