English

On the relative capacity on almost complex surface

Complex Variables 2018-12-20 v2

Abstract

We built the pluripotential theory on almost complex surfaces. Using Bedford-Taylor type relative capacities we prove among others that J-holomorphic curves as well as negligible sets are pluripolar and Josefson's type theorem on almost Stein surfaces.

Keywords

Cite

@article{arxiv.1809.11006,
  title  = {On the relative capacity on almost complex surface},
  author = {Szymon Pliś},
  journal= {arXiv preprint arXiv:1809.11006},
  year   = {2018}
}

Comments

25 pages, this version is substantially enlarged, comments welcome

R2 v1 2026-06-23T04:21:59.067Z