Projective curves of degree=codimension+2 II

Wanseok Lee, Euisung Park

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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

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Keywords

  • Curve of almost minimal degree
  • minimal free resolution

ASJC Scopus subject areas

  • Mathematics(all)

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