SOME IRRATIONAL QUARTIC THREEFOLDS

Kyusik Hong; Joonyeong Won

doi:10.4134/BKMS.b210158

SOME IRRATIONAL QUARTIC THREEFOLDS

Kyusik Hong
, Joonyeong Won

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English
Pages (from-to)	361-373
Number of pages	13
Journal	Bulletin of the Korean Mathematical Society
Volume	59
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.b210158
State	Published - 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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10.4134/BKMS.b210158

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title = "SOME IRRATIONAL QUARTIC THREEFOLDS",

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 = "factoriality, irrationality, Nodal hypersurface",

author = "Kyusik Hong and Joonyeong Won",

note = "Funding Information: Acknowledgments. The first author was supported by the National Re- Publisher Copyright: {\textcopyright} 2022 Korean Mathematial Soiety.",

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AU - Won, Joonyeong

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AB - 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.

KW - factoriality

KW - irrationality

KW - Nodal hypersurface

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DO - 10.4134/BKMS.b210158

M3 - Article

AN - SCOPUS:85128743274

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EP - 373

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

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ER -

SOME IRRATIONAL QUARTIC THREEFOLDS

Abstract

Bibliographical note

Keywords

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