Bulletin of the Korean Mathematical Society (대한수학회보)

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SOME IRRATIONAL QUARTIC THREEFOLDS

  • Hong, Kyusik (Department of Mathematics Education Jeonju University) ;
  • Won, Joonyeong (Department of Mathematics Ewha Womans University)
  • Received : 2021.02.22
  • Accepted : 2021.05.12
  • Published : 2022.03.31
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Abstract

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.

Keywords

Acknowledgement

The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2021R1F1A1059506) and the Open KIAS Center at Korea Institute for Advanced Study. The second author was supported by the National Research Foundation of Korea(NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study. This research was supported by the Research Grant of Jeonju University in 2021.

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