Orthogonality of divisorial Zariski decompositions for classes with volume zero

Abstract

We show that the orthogonality conjecture for divisorial Zariski decompositions on compact Kahler manifolds holds for pseudoeffective (1,1) classes with volume zero.

8 pages

References in corpus (4)

• Sufficient Bigness Criterion for Differences of Two Nef Classes
• Volume and Self-Intersection of Differences of Two Nef Classes
• The Calabi-Yau Theorem and Kähler currents
• Transcendental Morse Inequality and Generalized Okounkov Bodies

Cited by in corpus (4)

• On a vanishing theorem due to Bogomolov
• Restricted volumes on Kähler manifolds
• On Junyan Cao's vanishing theorem for pseudoeffective line bundles
• Plurisupported Currents on Compact Kähler Manifolds