Discrete groups of reflections in the complex ball

DOI10.1007/BF01076376zbMath0582.32041MaRDI QIDQ1069007

O. V. Shvartsman

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

signatureprojective spaceaffine spaceGalois coveringdiscrete groupcomplex ballautomorphism groups of complex spacesCoxeter group of reflections

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Complex Lie groups, group actions on complex spaces (32M05) Other geometric groups, including crystallographic groups (20H15) Coverings in algebraic geometry (14E20) Reflection groups, reflection geometries (51F15) Geometries with algebraic manifold structure (51H30)

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Cites Work

• Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2
• Existence of nonarithmetic monodromy groups
• Calabi's conjecture and some new results in algebraic geometry
• Numerical Invariants and Multiple Planes
• Finite Unitary Reflection Groups