On projective toric varieties whose defining ideals have minimal generators of the highest degree

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Abstract

It is known that generators of ideals defining projective toric varieties of dimension n embedded by global sections of normally generated line bundles have degree at most n + 1. We characterize projective toric varieties of dimension n whose defining ideals must have elements of degree n + 1 as generators.

Original languageEnglish
Pages (from-to)2243-2255
Number of pages13
JournalAnnales de l'Institut Fourier
Volume53
Issue number7
DOIs
Publication statusPublished - 2004

Keywords

  • Convex polytopes
  • Generators of ideals
  • Toric varieties

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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