On Generalised Abundance, I

  • Vladimir Lazić

    Universität des Saarlandes, Saarbrücken, Germany
  • Thomas Peternell

    Universität Bayreuth, Germany
On Generalised Abundance, I cover
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Abstract

The goal of this paper is to make a striking connection between several central conjectures in algebraic geometry: the Nonvanishing Conjecture, the Abundance Conjecture and the Semiampleness Conjecture for nef line bundles on KK-trivial varieties.

Cite this article

Vladimir Lazić, Thomas Peternell, On Generalised Abundance, I. Publ. Res. Inst. Math. Sci. 56 (2020), no. 2, pp. 353–389

DOI 10.4171/PRIMS/56-2-3