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Projective curves of degree=codimension+2 II
- Authors
- Lee, Wanseok; Park, Euisung
- Issue Date
- 2월-2016
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- minimal free resolution; Curve of almost minimal degree
- Citation
- INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v.26, no.1, pp.95 - 104
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
- Volume
- 26
- Number
- 1
- Start Page
- 95
- End Page
- 104
- ISSN
- 0218-1967
- Abstract
- Let C subset of 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) over tilde subset of Pr+1 from a point P is an element of 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) over tilde, which is a measure of the relative location of P from (C) over tilde.
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