Factoriality of complete intersection threefolds
Abstract
Let X be a complete intersection of two hypersurfaces Fn and Fk in the projective space P5 of degree n and k respectively with n >= k, such that the singularities of X are nodal and Fk is smooth. We prove that if the threefold X has at most (n+k-2)(n-1)-1 singular points, then it is factorial.
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