On curves lying on a rational normal surface scroll

Wanseok Lee, Euisung Park

Research output: Contribution to journalArticle

Abstract

In this paper, we study the minimal free resolution of non-ACM divisors X of a smooth rational normal surface scroll S=S(a1,a2)⊂Pr. Our main result shows that for a2≥2a1−1, 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.

Original languageEnglish
JournalJournal of Pure and Applied Algebra
DOIs
Publication statusAccepted/In press - 2019 Jan 1

Fingerprint

Rational Surface
Normal Surface
Graded Betti numbers
Minimal Free Resolution
Curve
Divisor
Tables
Table
Decompose

Keywords

  • Divisor
  • Minimal free resolution
  • Rational normal surface scroll

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

On curves lying on a rational normal surface scroll. / Lee, Wanseok; Park, Euisung.

In: Journal of Pure and Applied Algebra, 01.01.2019.

Research output: Contribution to journalArticle

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