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Morse and semistable stratifications of Kähler spaces by \(\mathbb C*{\mathbb C}^{\ast}\)-actions

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Publication:956669
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DOI10.1007/s00605-008-0543-3zbMath1161.32008OpenAlexW1997956871MaRDI QIDQ956669

Qi Lin Yang

Publication date: 25 November 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0543-3


zbMATH Keywords

symplectic cutBialynicki-Birula decompositionKähler spaceHamilton actionproper Morse function


Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Complex Lie groups, group actions on complex spaces (32M05)




Cites Work

  • Unnamed Item
  • A decomposition theorem for the integral homology of a variety
  • Symplectic convexity for orbifolds
  • Fixed points of the actions on compact Kähler manifolds
  • Convexity properties of the moment mapping
  • Extension of meromorphic maps into Kähler manifolds
  • Complex analytic geometry
  • Reduction of complex Hamiltonian \(G\)-spaces
  • Holomorphic slices, symplectic reduction and multiplicities of representations
  • Kählerian potentials and convexity properties of the moment map
  • Some theorems on actions of algebraic groups
  • Convexity properties of the moment mapping. III
  • Infinitesimale Transformationsgruppen komplexer Räume
  • Convexity and Commuting Hamiltonians
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