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The complex Monge–Ampère operator in the Cegrell classes

Volume 466 / 2009

Rafał Czyż Dissertationes Mathematicae 466 (2009), 1-83 MSC: Primary 32W20; Secondary 32U15. DOI: 10.4064/dm466-0-1

Abstract

The complex Monge–Ampère operator is a useful tool not only within pluripotential theory, but also in algebraic geometry, dynamical systems and Kähler geometry. In this self-contained survey we present a unified theory of Cegrell's framework for the complex Monge–Ampère operator.

Authors

  • Rafał CzyżInstitute of Mathematics
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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