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Some remarks on nef and good divisors on an algebraic variety

  • Christophe Mourougane
  • , Francesco Russo

Research output: Contribution to journalArticlepeer-review

Abstract

Let X be a complete normal algebraic variety defined over a field k algebraically closed and let D be a Cartier divisor on X. Under the assumption that D is nef and good, we describe boundedness properties of base locus of the systems |nD|, algebraic convexity properties of X \ supp(D), and a criterium for semiampleness.

Translated title of the contributionRemarques sur les diviseurs nef et abondants
Original languageEnglish
Pages (from-to)499-504
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume325
Issue number5
DOIs
Publication statusPublished - 1 Jan 1997
Externally publishedYes

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