Integration by parts formula for non-pluripolar product

Abstract

In this paper, we prove the integration by parts formula for the non-pluripolar product on a compact Kähler manifold. Our result generalizes the special case of potentials with small unbounded loci proved in [BEGZ10].

arXiv comment15 pages, comments are welcome

Cited by in corpus (6)

• $L^1$ metric geometry of potentials with prescribed singularities on compact Kähler manifolds
• Continuity method with movable singularities for classical Monge-Ampère equations
• Mabuchi geometry of big cohomology classes with prescribed singularities
• Relative pluripotential theory on compact Kähler manifolds
• Loss of mass of non-pluripolar products
• Plurisupported Currents on Compact Kähler Manifolds