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 language | English |
|---|---|
| Pages (from-to) | 95-104 |
| Number of pages | 10 |
| Journal | International Journal of Algebra and Computation |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2016 Feb 1 |
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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 journal › Article
}
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 -