English

Monge-Ampere measures on subvarieties

Complex Variables 2014-03-31 v1

Abstract

In this article we address the question whether the complex Monge-Amp\`{e}re equation is solvable for measures with large singular part. We prove that under some conditions there are no solution when the right-hand side is carried by a smooth subvariety in \CEPn\CEP{n} of dimension k<nk<n.

Keywords

Cite

@article{arxiv.1403.7412,
  title  = {Monge-Ampere measures on subvarieties},
  author = {Per Ahag and Urban Cegrell and Pham Hoang Hiep},
  journal= {arXiv preprint arXiv:1403.7412},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T03:37:20.021Z