We study the factoriality of a nodal quartic hypersurface V4 in P4 when there is a hyperplane in P4 containing all the nodes of V4. As an application, we obtain new examples of irrational quartic 3-folds.
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Acknowledgments. The first author was supported by the National Re-
© 2022 Korean Mathematial Soiety.
- Nodal hypersurface