Plurisubharmonic Functions and the Kempf-Ness Theorem

DOI10.1112/blms/25.2.162zbMath0795.32002OpenAlexW1998044351MaRDI QIDQ4294039

Jean-Jacques Loeb, Hassan Azad

Publication date: 4 September 1994

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/25.2.162

zbMATH Keywords

parabolic subgroupsalgebraic groupsplurisubharmonic functionsKempf-Ness theoremHilbert-Mumford theorem

Mathematics Subject Classification ID

Homogeneous complex manifolds (32M10) Plurisubharmonic functions and generalizations (32U05)

Related Items (13)

Cartan decomposition of the moment map ⋮ On invariant domains in certain complex homogeneous spaces ⋮ Canonical domains for coadjoint orbits ⋮ Totally real orbits in affine quotients of reductive groups ⋮ Kempf-Ness type theorems and Nahm equations ⋮ Stability of measures on Kähler manifolds ⋮ A characterization of bounded symmetric domains of type IV ⋮ Some applications of plurisubharmonic functions to orbits of real reductive groups ⋮ Remarks on the abelian convexity theorem ⋮ Convexity properties of gradient maps associated to real reductive representations ⋮ Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces ⋮ Weakly symmetric spaces and spherical varieties ⋮ Polynomially convex orbits of compact Lie groups

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