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On curves lying on a rational normal surface scroll
- Authors
- Lee, Wanseok; Park, Euisung B.
- Issue Date
- 10월-2019
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Minimal free resolution; Rational normal surface scroll; Divisor
- Citation
- JOURNAL OF PURE AND APPLIED ALGEBRA, v.223, no.10, pp.4458 - 4476
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF PURE AND APPLIED ALGEBRA
- Volume
- 223
- Number
- 10
- Start Page
- 4458
- End Page
- 4476
- ISSN
- 0022-4049
- Abstract
- In this paper, we study the minimal free resolution of non-ACM divisors X of a smooth rational normal surface scroll S = S(a(1), a(2)) subset of P-r. Our main result shows that for a(2) >= 2a(1) - 1, there exists a nice decomposition of the Betti table of X as a sum of much simpler Betti tables. As a by-product of our results, we obtain a complete description of the graded Betti numbers of X for the cases where S = S(1, r - 2) for all r >= 3 and S = S(2, r - 3) for all r >= 6. (C) 2019 Elsevier B.V. All rights reserved.
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