Arc-analytic subanalytic functions on complex manifolds
Complex Variables
2026-03-30 v1
Abstract
We show that an arc-analytic subanalytic function on a complex manifold M, which is holomorphic near one point, is a holomorphic function on M. More generally, an arc-analytic subanalytic function on a real analytic CR-manifold M, which is CR on a nonempty open subset of M, is a CR-function on the whole M.
Keywords
Cite
@article{arxiv.2603.25967,
title = {Arc-analytic subanalytic functions on complex manifolds},
author = {Janusz Adamus and Rasul Shafikov},
journal= {arXiv preprint arXiv:2603.25967},
year = {2026}
}
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