Factorial nodal complete intersection 3-folds in P^5

Hong, Kyusik; Hong, Kyusik

doi:https://doi.org/10.7468/jksmeb.2022.29.2.201

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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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 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

Hong,, K. (2022). Factorial nodal complete intersection 3-folds in P^5. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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 ℙ5 of degree n and a smooth quadratic hypersurface in ℙ5 . Then we show that X is factorial if it has at most n2 - n + 1 nodes and contains no 2-planes, where n = 3, 4.

keywords: complete intersection 3-fold, nodal variety, factoriality

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Article Contents

Vol.29 No.2

Factorial nodal complete intersection 3-folds in P^5

Abstract

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