Symmetries in CR complexity theory

DOI10.1016/j.aim.2017.04.014zbMath1375.32034arXiv1703.09320OpenAlexW2604528540MaRDI QIDQ529234

John P. D'Angelo, Ming Xiao

Publication date: 18 May 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09320

zbMATH Keywords

Hermitian formsautomorphism groupsunitary transformationsproper holomorphic mappingsCR complexitygroup-invariant CR maps

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Proper holomorphic mappings, finiteness theorems (32H35) Complex spaces with a group of automorphisms (32M99)

Related Items (14)

Symmetries, rational sphere maps, and complete polynomial sequences ⋮ Rational sphere maps, linear programming, and compressed sensing ⋮ Proper mappings between indefinite hyperbolic spaces and type I classical domains ⋮ The reflection map and infinitesimal deformations of sphere mappings ⋮ On highly degenerate CR maps of spheres ⋮ A rigidity result for proper holomorphic maps between balls ⋮ Minimal surfaces with symmetries ⋮ Regularity of mappings into classical domains ⋮ Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\) ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ An optimization problem arising in CR geometry ⋮ Constructing group-invariant CR mappings ⋮ Rigidity of mappings between degenerate and indefinite hyperbolic spaces ⋮ The CR Ahlfors derivative and a new invariant for spherically equivalent CR maps

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