Factoriality of complete intersection threefolds

Details Factoriality of complete intersection threefolds Factoriality of complete intersection threefolds

2008-08-29

arxiv.org/abs/0808.4071v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

Let X be a complete intersection of two hypersurfaces F_n and F_k in the
projective space P^5 of degree n and k respectively with n >= 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.

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