Convergence and divergence of formal CR mappings
نویسندگان
چکیده
منابع مشابه
Approximation and Convergence of Formal Cr-mappings
Let M ⊂ C be a minimal real-analytic CR-submanifold and M ′ ⊂ C ′ a realalgebraic subset through points p ∈ M and p ∈ M , N, N ′ ≥ 2. We show that that any formal (holomorphic) mapping f : (C , p) → (C ′ , p), sending M into M , can be approximated up to any given order at p by a convergent map sending M into M . If M is furthermore generic, we also show that any such map f , that is not conver...
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Convergence of Formal Invertible Cr Mappings between Minimal Holomorphically Nondegenerate Real Analytic Hypersurfaces
Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CRmappings between real analytic hypersurfaces. In analogy with the known optimal results about the algebraicity of holomorphic mappings between real algebraic sets, some statements about the optimal regularity of formal CR mappings between real analytic CR manifolds can be naturally c...
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A new pointwise nondegeneracy condition about generic real analytic submanifolds in Cn, called S-nondegeneracy, is introduced. This condition is intermediate between essential finiteness and holomorphic nondegeneracy. We prove in this paper that a formal biholomorphism between S-nondegenerate and minimal real analytic CR generic manifolds is convergent, generalizing by this earlier results of C...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 2018
ISSN: 0001-5962,1871-2509
DOI: 10.4310/acta.2018.v220.n2.a5