English

Monge-Amp\`ere operators on complex varieties in $\C^n

Complex Variables 2017-02-27 v1

Abstract

The main goal of this article is to find, following the approach given in [Ce1] and [Ce2], the largest possible sub-class of plurisubharmornic functions on a complex variety on which the complex Monge-Amp\`ere operator can be reasonably defined. Moreover, we are also interested in giving sufficient condition for solvability of the Monge-Amp\`ere operator Monge-Amp\`ere operators on complex varieties.

Keywords

Cite

@article{arxiv.1702.07454,
  title  = {Monge-Amp\`ere operators on complex varieties in $\C^n},
  author = {Nguyen Quang Dieu and Tang Van Long and Ounhean Sanphet},
  journal= {arXiv preprint arXiv:1702.07454},
  year   = {2017}
}

Comments

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R2 v1 2026-06-22T18:27:05.559Z