Regularity and Multisecant Lines of Finite Schemes

Wanseok Lee, Euisung Park, Youngho Woo

Research output: Contribution to journalArticle

Abstract

For a nondegenerate finite subscheme T in Pc , let reg(T) and λ(T) be, respectively, the regularity of T and the largest integer λ such that there exists an λ-secant line to T. It is always true that reg(T) = λ(T). In this article, we show that if reg(T) = d-c+5 2 then reg(T) is equal to λ(T). In addition, we describe the minimal free resolution of the homogeneous ideal of T for the case reg(T) = d-c+5 2 .

Original languageEnglish
Article number183
Pages (from-to)1725-1743
Number of pages19
JournalInternational Mathematics Research Notices
Volume2019
Issue number6
DOIs
Publication statusPublished - 2019 Mar 22

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Minimal Free Resolution
Chord or secant line
Regularity
Integer
Line

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Regularity and Multisecant Lines of Finite Schemes. / Lee, Wanseok; Park, Euisung; Woo, Youngho.

In: International Mathematics Research Notices, Vol. 2019, No. 6, 183, 22.03.2019, p. 1725-1743.

Research output: Contribution to journalArticle

Lee, Wanseok ; Park, Euisung ; Woo, Youngho. / Regularity and Multisecant Lines of Finite Schemes. In: International Mathematics Research Notices. 2019 ; Vol. 2019, No. 6. pp. 1725-1743.
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