Projective curves of degree=codimension+2 II

Wanseok Lee; Euisung Park

doi:10.1142/S0218196716500041

Projective curves of degree=codimension+2 II

Wanseok Lee, Euisung Park

Department of Mathematics

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

1 Citation (Scopus)

Abstract

Let C ⊂ ℙ^r 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˜ ⊂ ℙ^r+1 from a point P ∈ ℙ^r+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	https://doi.org/10.1142/S0218196716500041
Publication status	Published - 2016 Feb 1

Keywords

Curve of almost minimal degree
minimal free resolution

ASJC Scopus subject areas

Mathematics(all)

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