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Factorial nodal complete intersection 3-folds in P^5

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.2, pp.201-206
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.201
Hong, Kyusik
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Abstract

Let X be a nodal complete intersection 3-fold defined by a hypersurface in &#x2119;<sup>5</sup> of degree n and a smooth quadratic hypersurface in &#x2119;<sup>5</sup> . Then we show that X is factorial if it has at most n<sup>2</sup> - n + 1 nodes and contains no 2-planes, where n = 3, 4.

keywords
complete intersection 3-fold, nodal variety, factoriality

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics