On quadratic generation of ideals defining projective toric varieties

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Abstract

For any ample line bundle L on a projective toric variety of dimension n, it is known that the line bundle L⊗i is normally generated if i is greater than or equal to n - 1. We prove that L⊗i is also normally presented if i is greater than or equal to n - 1. Furthermore we show that L⊗i is normally presented for i ≥ [n/2] + 1 if L is normally generated.

Original languageEnglish
Pages (from-to)137-146
Number of pages10
JournalKodai Mathematical Journal
Volume26
Issue number2
DOIs
Publication statusPublished - 2003 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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