HYPERSURFACES IN P4 WITH POSITIVE DEFECT

Kyusik Hong; Seung jo Jung

doi:10.4134/CKMS.c250110

HYPERSURFACES IN P⁴ WITH POSITIVE DEFECT

Kyusik Hong
, Seung jo Jung

Department of Mathematics Education

Jeonju University

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

Let V be a hypersurface in P⁴ with ordinary double and triple points as the only singularities, and let μ₂ and μ₃ be the number of ordinary double points (triple points, respectively) of V. Then we prove that if (Formula presented), then the defect of V is positive.

Original language	English
Pages (from-to)	73-77
Number of pages	5
Journal	Communications of the Korean Mathematical Society
Volume	41
Issue number	1
DOIs	https://doi.org/10.4134/CKMS.c250110
State	Published - 2026

Keywords

defect
divisor
factoriality
Nodal hypersurface

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.4134/CKMS.c250110

Cite this

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title = "HYPERSURFACES IN P4 WITH POSITIVE DEFECT",

abstract = "Let V be a hypersurface in P4 with ordinary double and triple points as the only singularities, and let μ2 and μ3 be the number of ordinary double points (triple points, respectively) of V. Then we prove that if (Formula presented), then the defect of V is positive.",

keywords = "defect, divisor, factoriality, Nodal hypersurface",

author = "Kyusik Hong and Jung, \{Seung jo\}",

note = "Publisher Copyright: {\textcopyright}2026 Korean Mathematical Society",

year = "2026",

doi = "10.4134/CKMS.c250110",

language = "English",

volume = "41",

pages = "73--77",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

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T1 - HYPERSURFACES IN P4 WITH POSITIVE DEFECT

AU - Hong, Kyusik

AU - Jung, Seung jo

PY - 2026

Y1 - 2026

N2 - Let V be a hypersurface in P4 with ordinary double and triple points as the only singularities, and let μ2 and μ3 be the number of ordinary double points (triple points, respectively) of V. Then we prove that if (Formula presented), then the defect of V is positive.

AB - Let V be a hypersurface in P4 with ordinary double and triple points as the only singularities, and let μ2 and μ3 be the number of ordinary double points (triple points, respectively) of V. Then we prove that if (Formula presented), then the defect of V is positive.

KW - defect

KW - divisor

KW - factoriality

KW - Nodal hypersurface

UR - https://www.scopus.com/pages/publications/105037873261

U2 - 10.4134/CKMS.c250110

DO - 10.4134/CKMS.c250110

M3 - Journal article

AN - SCOPUS:105037873261

SN - 1225-1763

VL - 41

SP - 73

EP - 77

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 1

ER -