SOME IRRATIONAL QUARTIC THREEFOLDS

Kyusik Hong, Joonyeong Won

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)361-373
Number of pages13
JournalBulletin of the Korean Mathematical Society
Volume59
Issue number2
DOIs
StatePublished - 31 Mar 2022

Bibliographical note

Funding Information:
Acknowledgments. The first author was supported by the National Re-

Publisher Copyright:
© 2022 Korean Mathematial Soiety.

Keywords

  • factoriality
  • irrationality
  • Nodal hypersurface

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