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http://dx.doi.org/10.7468/jksmeb.2022.29.2.201

FACTORIAL NODAL COMPLETE INTERSECTION 3-FOLDS IN ℙ5  

Hong, Kyusik (Department of Mathematics Education, Jeonju University)
Publication Information
The Pure and Applied Mathematics / v.29, no.2, 2022 , pp. 201-206 More about this Journal
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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