Local geodesics between toric plurisubharmonic functions with infinite energy

Genki Hosono

Local geodesics between toric plurisubharmonic functions with infinite energy

Complex Variables 2016-06-17 v1

Authors: Genki Hosono

Abstract

Our interest is the behavior of weak geodesics between two plurisubharmonic functions on pseudoconvex domains. We characterize the convergence condition along the geodesic between toric psh functions with a pole at origin on a unit ball in $\mathbb{C}^n$ by means of Lelong numbers.

Keywords

plurisubharmonic functions weak geodesics toric plurisubharmonic functions Lelong number pseudoconvex domains complex geometry

Cite

@article{arxiv.1606.05235,
  title  = {Local geodesics between toric plurisubharmonic functions with infinite energy},
  author = {Genki Hosono},
  journal= {arXiv preprint arXiv:1606.05235},
  year   = {2016}
}

Comments

8 pages

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