Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces
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Publication:1588924
DOI10.1007/BF02392830zbMath1005.32014arXivmath/9801040WikidataQ58623214 ScholiaQ58623214MaRDI QIDQ1588924
Publication date: 6 December 2000
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9801040
analytic discsreal submanifoldslocal biholomorphismalgebraicity of holomorphismsalgebraicity of local biholomorphismscomplex-algebraic submanifoldsLevi-nondegenerate algebraic hypersurfaceslocal holomorphismreal-algebraic submanifolds
Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)
Related Items (18)
Unnamed Item ⋮ Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics ⋮ Reflection ideals and mappings between generic submanifolds in complex space ⋮ Some aspects of holomorphic mappings: a survey ⋮ Non-embeddable real algebraic hypersurfaces ⋮ Regularity of mappings into classical domains ⋮ Algebraic approximation in CR geometry ⋮ Extension of holomorphic maps between real hypersurfaces of different dimension ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ Dynamics of the Segre varieties of a real submanifold in complex space ⋮ Note on double reflection and algebraicity of holomorphic mappings ⋮ Degree of a holomorphic map between unit balls from $\mathbb C^2$ to $\mathbb C^n$ ⋮ Unique jet determination and extension of germs of CR maps into spheres ⋮ Explicit bounds for the finite jet determination problem ⋮ Transcendental holomorphic maps between real algebraic manifolds in a complex space ⋮ Extension of CR maps between real-analytic hypersurfaces of different dimensions ⋮ Approximation and convergence properties of formal CR-maps ⋮ Extension of correspondences between rigid polynomial domains
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