A Hilbert–Mumford criterion for polystability in Kaehler geometry
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Publication:3053469
DOI10.1090/S0002-9947-2010-04831-7zbMath1201.53086arXiv0804.1067MaRDI QIDQ3053469
Publication date: 29 October 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.1067
Momentum maps; symplectic reduction (53D20) Complex Lie groups, group actions on complex spaces (32M05)
Related Items (9)
On the complex structure of symplectic quotients ⋮ Stability with respect to actions of real reductive Lie groups ⋮ Stability, analytic stability for real reductive Lie groups ⋮ Dominant weight associated with actions of real reductive groups ⋮ Stability of measures on Kähler manifolds ⋮ The Kempf-Ness theorem and invariant theory for real reductive representations ⋮ Convexity properties of gradient maps associated to real reductive representations ⋮ Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group ⋮ Ressayre’s pairs in the Kähler setting
Cites Work
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- SYMPLECTIC STABILITY, ANALYTIC STABILITY IN NON-ALGEBRAIC COMPLEX GEOMETRY
- Geometric Invariant Theory
- A Hitchin-Kobayashi correspondence for Kähler fibrations
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