On a mixed Monge-Ampere operator for quasiplurisubharmonic functions with analytic singularities
Journal article, 2020

We consider mixed Monge-Ampere products of quasiplurisubharmonic functions with analytic singularities, and show that such products may be regularized as explicit one-parameter limits of mixed Monge-Ampere products of smooth functions, generalizing results of Andersson, Blocki and the last author in the case of non-mixed Monge-Ampere products. Connections to the theory of residue currents, going back to Coleff-Herrera, Passare and others, play an important role in the proof. As a consequence we get an approximation of Chern and Segre currents of certain singular hermitian metrics on vector bundles by smooth forms in the corresponding Chern and Segre classes.

32U40 (primary)

14C17 (secondary)

32U05

32W20

Author

Richard Lärkäng

Chalmers, Mathematical Sciences, Algebra and geometry

Martin Sera

Kyoto Univ Adv Sci

Elizabeth Wulcan

Chalmers, Mathematical Sciences, Algebra and geometry

Bulletin of the London Mathematical Society

0024-6093 (ISSN) 1469-2120 (eISSN)

Vol. 52 1 77-93

Subject Categories

Production Engineering, Human Work Science and Ergonomics

Geometry

Mathematical Analysis

DOI

10.1112/blms.12307

More information

Latest update

3/31/2020