Projective curves of degree=codimension+2 II

Wanseok Lee, Euisung Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let C ⊂ ℙr be a nondegenerate projective integral curve of degree r + 1 which is not linearly normal. In this paper, we continues the study begun in [E. Park, Projective curves of degree=codimension+2, Math. Z. 256 (2007) 685-697] for the minimal free resolution of C. It is well-known that C is an isomorphic projection of a rational normal curve C˜ ⊂ ℙr+1 from a point P ∈ ℙr+1. Our main result is about how the graded Betti numbers of C are determined by the rank of P with respect to C˜, which is a measure of the relative location of P from C˜.

Original languageEnglish
Pages (from-to)95-104
Number of pages10
JournalInternational Journal of Algebra and Computation
Volume26
Issue number1
DOIs
Publication statusPublished - 2016 Feb 1

Fingerprint

Codimension
Curve
Graded Betti numbers
Minimal Free Resolution
P-point
Continue
Isomorphic
Linearly
Projection

Keywords

  • Curve of almost minimal degree
  • minimal free resolution

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Projective curves of degree=codimension+2 II. / Lee, Wanseok; Park, Euisung.

In: International Journal of Algebra and Computation, Vol. 26, No. 1, 01.02.2016, p. 95-104.

Research output: Contribution to journalArticle

@article{6d2344335ce74e2f90941ad2a90001c8,
title = "Projective curves of degree=codimension+2 II",
abstract = "Let C ⊂ ℙr be a nondegenerate projective integral curve of degree r + 1 which is not linearly normal. In this paper, we continues the study begun in [E. Park, Projective curves of degree=codimension+2, Math. Z. 256 (2007) 685-697] for the minimal free resolution of C. It is well-known that C is an isomorphic projection of a rational normal curve C˜ ⊂ ℙr+1 from a point P ∈ ℙr+1. Our main result is about how the graded Betti numbers of C are determined by the rank of P with respect to C˜, which is a measure of the relative location of P from C˜.",
keywords = "Curve of almost minimal degree, minimal free resolution",
author = "Wanseok Lee and Euisung Park",
year = "2016",
month = "2",
day = "1",
doi = "10.1142/S0218196716500041",
language = "English",
volume = "26",
pages = "95--104",
journal = "International Journal of Algebra and Computation",
issn = "0218-1967",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",

}

TY - JOUR

T1 - Projective curves of degree=codimension+2 II

AU - Lee, Wanseok

AU - Park, Euisung

PY - 2016/2/1

Y1 - 2016/2/1

N2 - Let C ⊂ ℙr be a nondegenerate projective integral curve of degree r + 1 which is not linearly normal. In this paper, we continues the study begun in [E. Park, Projective curves of degree=codimension+2, Math. Z. 256 (2007) 685-697] for the minimal free resolution of C. It is well-known that C is an isomorphic projection of a rational normal curve C˜ ⊂ ℙr+1 from a point P ∈ ℙr+1. Our main result is about how the graded Betti numbers of C are determined by the rank of P with respect to C˜, which is a measure of the relative location of P from C˜.

AB - Let C ⊂ ℙr be a nondegenerate projective integral curve of degree r + 1 which is not linearly normal. In this paper, we continues the study begun in [E. Park, Projective curves of degree=codimension+2, Math. Z. 256 (2007) 685-697] for the minimal free resolution of C. It is well-known that C is an isomorphic projection of a rational normal curve C˜ ⊂ ℙr+1 from a point P ∈ ℙr+1. Our main result is about how the graded Betti numbers of C are determined by the rank of P with respect to C˜, which is a measure of the relative location of P from C˜.

KW - Curve of almost minimal degree

KW - minimal free resolution

UR - http://www.scopus.com/inward/record.url?scp=84959120616&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959120616&partnerID=8YFLogxK

U2 - 10.1142/S0218196716500041

DO - 10.1142/S0218196716500041

M3 - Article

AN - SCOPUS:84959120616

VL - 26

SP - 95

EP - 104

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 1

ER -