Projective normality of toric 3-folds with non-big adjoint hyperplane sections, II

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Abstract

Let (X, A) be a nonsingular polarized toric 3-fold. We show that if the adjoint bundle of A has no global sections, then all ample line bundles on X are normally generated. Even if the adjoint bundle of A is effective, if it is not big, then it is also shown the normal generation. Especially, we show that all ample line bundles on a nonsingular toric Fano 3-fold are normally generated.

Original languageEnglish
Pages (from-to)99-110
Number of pages12
JournalFar East Journal of Mathematical Sciences
Volume84
Issue number1
Publication statusPublished - 2014 Jan 1

Keywords

  • Fano variety
  • Projectively normal
  • Toric varieties

ASJC Scopus subject areas

  • Mathematics(all)

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