On multisecants and the Green-Lazarsfeld index of projective varieties

Wanseok Lee, Euisung Park, Youngho Woo

Research output: Contribution to journalArticle

Abstract

It is well known that a nondegenerate projective subvariety X ⊂ ℙr of degree d and codimension c > 1 has minimal degree (i.e., d = c + 1) if and only if index(X) ≥ c if and only if X has no multisecant c-space. In this paper we extend this result by classifying varieties with index(X) ≥ c - s or with no multisecant (c - s)-space for s = 1 and 2.

Original languageEnglish
Pages (from-to)525-530
Number of pages6
JournalArchiv der Mathematik
Volume96
Issue number6
DOIs
Publication statusPublished - 2011 Jun 1

Keywords

  • Green-Lazarsfeld index
  • Multisecant space
  • Variety of low degree

ASJC Scopus subject areas

  • Mathematics(all)

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