2 papers
math.CV2026
Arc-analytic subanalytic functions on complex manifolds
Janusz Adamus, Rasul Shafikov
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 suba…
math.CV2026
Globally subanalytic arc-symmetric sets
Janusz Adamus
It is shown that every C-semianalytic arc-symmetric set can be realized as the zero locus of an arc-analytic function. As a consequence, a Nash globally subanalytic arc-symmetric s…