English

Images and singularity subsets of pseudoholomorphic maps

Differential Geometry 2022-12-09 v1 Complex Variables

Abstract

We study the image and the singularity subset of a general pseudoholomorphic map. We show that the image of a proper pseudoholomorphic map is a pseudoholomorphic subvariety when the dimension of either the domain or target is four. We also prove that the singularity subset of a pseudoholomorphic map is pseudoholomorphic when the domain has dimension four.

Keywords

Cite

@article{arxiv.2212.03982,
  title  = {Images and singularity subsets of pseudoholomorphic maps},
  author = {Weiyi Zhang},
  journal= {arXiv preprint arXiv:2212.03982},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-28T07:25:19.185Z