English

Intrinsic complexification of real-analytic varieties

Complex Variables 2025-11-14 v1

Abstract

We introduce a framework for Segre varieties for singular real-analytic subvarieties of a complex space and utilize it to study the intrinsic complexifications of these subvarieties. Many examples illustrate the subtle issues arising in the singular setting.

Keywords

Cite

@article{arxiv.2409.13127,
  title  = {Intrinsic complexification of real-analytic varieties},
  author = {Bernhard Lamel and Jiri Lebl},
  journal= {arXiv preprint arXiv:2409.13127},
  year   = {2025}
}

Comments

11 pages

R2 v1 2026-06-28T18:50:49.228Z