On Generalised Abundance, I
Vladimir Lazić, Thomas Peternell
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 K -trivial varieties.
Topics & Concepts
ConjectureMathematicsConnection (principal bundle)Abundance (ecology)Algebraic numberPure mathematicsLine (geometry)CombinatoricsGeometryMathematical analysisEcologyBiologyAlgebraic Geometry and Number TheoryAdvanced Algebra and GeometryHomotopy and Cohomology in Algebraic Topology