On the partial algebraicity of holomorphic mappings between two real algebraic sets

DOI10.24033/bsmf.2408zbMath0998.32019arXivmath/9906057OpenAlexW1640617771MaRDI QIDQ2773563

Joël Merker

Publication date: 24 February 2002

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9906057

zbMATH Keywords

transcendence degreereal algebraic setslocal algebraic foliationslocal holomorphic mappingsSegre chainsTumanov's minimality

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) CR manifolds as boundaries of domains (32V15) Extension of functions and other analytic objects from CR manifolds (32V25) CR functions (32V10)

Related Items (11)

Rationality of meromorphic functions between real algebraic sets in the plane ⋮ Vanishing Hachtroudi curvature and local equivalence to the Heisenberg pseudosphere ⋮ Some aspects of holomorphic mappings: a survey ⋮ Effective Cartan-Tanaka connections for \(\mathcal C^6\)-smooth strongly pseudoconvex hypersurfaces \(M^3 \subset \mathbb C^2\) ⋮ Extension of holomorphic maps between real hypersurfaces of different dimension ⋮ Lie symmetries and CR geometry ⋮ Note on double reflection and algebraicity of holomorphic mappings ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ Sur la convergence d'applications formelles entre sous-variétés analytiques réelles. (On the convergence of formal mappings between real-analytic submanifolds) ⋮ On the analyticity of smooth CR maps into a real algebraic set ⋮ Study of the analytic regularity of formal CR reflection mappings

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