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Factoriality condition of some nodal threefolds in \({\mathbb{P}^4}\)

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Abstract

We prove that for n = 8, 9, 10, 11, a nodal hypersurface of degree n in \({\mathbb{P}^{4}}\) is factorial if it has at most (n − 1)2 − 1 nodes.

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Authors and Affiliations

  1. School of Mathematics, The University of Edinburgh, Kings 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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The author is grateful to Ivan Cheltsov for valuable comments and suggestions.

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Kosta, D. Factoriality condition of some nodal threefolds in \({\mathbb{P}^4}\) . manuscripta math. 127, 151–166 (2008). https://doi.org/10.1007/s00229-008-0197-4

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  • DOI: https://doi.org/10.1007/s00229-008-0197-4

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