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ISSN : 1226-0657

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Vol.29 No.2
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FACTORIAL NODAL COMPLETE INTERSECTION 3-FOLDS IN &#x2119;<sup>5</sup>

Factorial nodal complete intersection 3-folds in P^5

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education, Jeonju University)
Hong, Kyusik. (2022). FACTORIAL NODAL COMPLETE INTERSECTION 3-FOLDS IN &#x2119;<sup>5</sup>. 한국수학교육학회지시리즈B:순수및응용수학, 29(2), 201-206, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.201
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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

한국수학교육학회지시리즈B:순수및응용수학

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