Invariant analytic hypersurfaces

DOI10.1007/BF01393343zbMath0507.32024MaRDI QIDQ1837309

Gregory A. Margulis, Alan T. Huckleberry

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142989

zbMATH Keywords

homogeneous spacessemi-simple Lie groupsZariski dense subgroupsinvariant hypersurfacesanalytic hypersurfaces(C*)-actions

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Discrete subgroups of Lie groups (22E40) General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05) Homogeneous complex manifolds (32M10)

Related Items (16)

Invariant analytic hypersurfaces in complex Lie groups ⋮ Sur les fonctions périodiques de plusieurs variables ⋮ Branched projective structures with Fuchsian holonomy ⋮ Periodic meromorphic functions ⋮ Invariant plurisubharmonic functions and hypersurfaces on semisimple complex Lie groups ⋮ Lefschetz type theorem ⋮ Irreducible flat \(\operatorname{SL}(2, \mathbb{R})\)-connections on the trivial holomorphic bundle ⋮ On certain Tannakian categories of integrable connections over Kähler manifolds ⋮ The monodromy map from differential systems to the character variety is generically immersive ⋮ Flat Rank Two Vector Bundles on Genus Two Curves ⋮ Compactifications équivariantes par des courbes ⋮ The Riemann-Hilbert mapping for $\mathfrak{sl}_2$ systems over genus two curves ⋮ Two remarks concerning toroidal groups ⋮ Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds ⋮ Complex analytic geometry of complex parallelizable manifolds ⋮ Invariant analytic hypersurfaces in complex nilpotent Lie groups

Cites Work

• Invariant meromorphic functions on complex semisimple Lie groups
• Free subgroups in linear groups
• Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten

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