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arXiv · 2603.25967

Arc-analytic subanalytic functions on complex manifolds

Janusz Adamus·Rasul Shafikov
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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.

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Janusz Adamus, Rasul Shafikov. 2026-03-26. Arc-analytic subanalytic functions on complex manifolds. https://arxiv.org/abs/2603.25967

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