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Factoriality of complete intersections in ℙ5

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Abstract

Let X be a complete intersection of two hypersurfaces F n and F k in ℙ5 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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  1. School of Mathematics, The University of Edinburgh, King’s Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK

    Dimitra Kosta

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  1. Dimitra Kosta
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Correspondence to Dimitra Kosta.

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Kosta, D. Factoriality of complete intersections in ℙ5 . Proc. Steklov Inst. Math. 264, 102–109 (2009). https://doi.org/10.1134/S0081543809010131

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