FINITE-DIMENSIONALITY OF THE GROUP OF CR AUTOMORPHISMS OF A STANDARD CR MANIFOLD, AND PROPER HOLOMORPHIC MAPPINGS OF SIEGEL DOMAINS

General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05) Proper holomorphic mappings, finiteness theorems (32H35)

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Holomorphic automorphisms of quadrics ⋮ INVARIANTS OF ELLIPTIC AND HYPERBOLIC CR-STRUCTURES OF CODIMENSION 2 ⋮ CR-quadrics with a symmetry property ⋮ Local CR-diffeomorphisms of CR-quadrics of codimension two. I: Standard Hermitian quadrics ⋮ Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms ⋮ Canonical isomorphism of two Lie algebras arising in CR-geometry ⋮ Automorphisms and holomorphic mappings of standard CR-manifolds and Siegel domains ⋮ On Beloshapka's rigidity conjecture for real submanifolds in complex space ⋮ A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real associative quadrics ⋮ Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces ⋮ Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description.

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