Some irrational quartic threefolds
Bull. Korean Math. Soc.
Published online August 24, 2021
Kyusik Hong and Joonyeong Won
Jeonju University; KIAS
Abstract : We study the factoriality of a nodal quartic hypersurface $V_4$ in $\mathbb{P}^4$ when there is a hyperplane in $\mathbb{P}^4$ containing all the nodes of $V_4$. As an application, we obtain new examples of irrational quartic $3$-folds.
Keywords : Nodal hypersurface, factoriality, irrationality
MSC numbers : 14C20, 14J17, 14J30
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