Monotonicity of Non-Pluripolar Monge-Ampere Masses
Artikel i vetenskaplig tidskrift, 2019

We prove that on a compact Kahler manifold, the non-pluripolar Monge-Ampere mass of a theta-psh function decreases as the singularities increase. This was conjectured by Boucksom-Eyssidieux-Guedj-Zeriahi, who proved it under the additional assumption of the functions having small unbounded locus. As a corollary, we get a comparison principle for theta-psh functions, analogous to the comparison principle for psh functions due to Bedford-Taylor.

Författare

David Witt Nyström

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Algebra och geometri

Indiana University Mathematics Journal

0022-2518 (ISSN)

Vol. 68 2 579-591

Ämneskategorier

Matematisk analys

DOI

10.1512/iumj.2019.68.7630

Mer information

Senast uppdaterat

2019-08-09