Arc-analytic subanalytic functions on complex manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911547446525952 |
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| author | Adamus, Janusz Shafikov, Rasul |
| author_facet | Adamus, Janusz Shafikov, Rasul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25967 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Arc-analytic subanalytic functions on complex manifolds Adamus, Janusz Shafikov, Rasul Complex Variables 32B20, 14P15, 32V10, 32V40, 32B10, 32C05, 32C25 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. |
| title | Arc-analytic subanalytic functions on complex manifolds |
| topic | Complex Variables 32B20, 14P15, 32V10, 32V40, 32B10, 32C05, 32C25 |
| url | https://arxiv.org/abs/2603.25967 |