Cartan decomposition of the moment map

DOI10.1007/s00208-006-0032-8zbMath1110.32008arXivmath/0502515OpenAlexW1984351639MaRDI QIDQ862372

Peter Heinzner, Gerald W. Schwarz

Publication date: 24 January 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502515

zbMATH Keywords

geometric invariant theorymoment mapproper actionsplurisubharmonic exhaustion

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Noncompact Lie groups of transformations (57S20)

Related Items (32)

Real Moment Map and Hyperkähler Geometry Techniques: The Cotangent Bundle to the 2-Sphere and SL(2, ℂ)-Adjoint Orbits ⋮ Real double coset spaces and their invariants ⋮ Invariant convex sets in polar representations ⋮ Convexity properties of gradient maps ⋮ The orbit type stratification of the moduli space of Higgs bundles ⋮ A splitting result for real submanifolds of a Kähler manifold ⋮ On closures of cycle spaces of flag domains ⋮ Convexity theorems for the gradient map on probability measures ⋮ Stratification of singular hyperkähler quotients ⋮ Semistable points with respect to real forms ⋮ Stability with respect to actions of real reductive Lie groups ⋮ On distinguished orbits of reductive representations ⋮ Stability, analytic stability for real reductive Lie groups ⋮ Spherical gradient manifolds ⋮ Geometry of Hermitian symmetric spaces under the action of a maximal unipotent group ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ Geometric counting on wavefront real spherical spaces ⋮ The absolutely continuous spectrum of Jacobi matrices ⋮ The adapted hyper-Kähler structure on the crown domain ⋮ A quotient restriction theorem for actions of real reductive groups ⋮ Kempf-Ness type theorems and Nahm equations ⋮ Stability of measures on Kähler manifolds ⋮ Projectivity of analytic Hilbert and Kähler quotients ⋮ On hyperbolicity of \(\mathrm{SU}(2)\)-equivariant, punctured disc bundles over the complex affine quadric ⋮ Remarks on the abelian convexity theorem ⋮ Homogeneous bundles and the first eigenvalue of symmetric spaces ⋮ The Kempf-Ness theorem and invariant theory for real reductive representations ⋮ Stratified Kähler structures on adjoint quotients ⋮ Convexity properties of gradient maps associated to real reductive representations ⋮ Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces ⋮ Classification of spherical algebraic subalgebras of real simple Lie algebras of rank 1 ⋮ Meromorphic limits of automorphisms

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