Divisorial Zariski Decomposition and some properties of full mass currents

2015/05/28 by Eleonora Di Nezza, Di Nezza, Eleonora, Enrica Floris +3
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.CV

paper · pdf · doi:10.48550/arxiv.1505.07638

13 pages

openalex publication_date 2015/05/28 · arxiv created 2015/06/16 · arxiv updated 2015/06/17 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

Let α be a big class on a compact Kähler manifold. We prove that a decomposition α=α₁+α₂ into the sum of a modified nef class α₁ and a pseudoeffective class α₂ is the divisorial Zariski decomposition of α if and only if vol(α)=vol(α₁). We deduce from this result some properties of full mass currents.

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