SOME IRRATIONAL QUARTIC THREEFOLDS

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Taehan Suhakhoe hoebo 2022, 59(2), , pp.361-373
Hauptverfasser: Hong, Kyusik, Won, Joonyeong
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b210158