Projectivity of analytic Hilbert and Kähler quotients
From MaRDI portal
Publication:3566715
DOI10.1090/S0002-9947-10-05000-2zbMath1216.14045arXiv0805.3973OpenAlexW3098383924MaRDI QIDQ3566715
Publication date: 8 June 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.3973
Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Momentum maps; symplectic reduction (53D20) Complex Lie groups, group actions on complex spaces (32M05)
Related Items
Stratification of singular hyperkähler quotients ⋮ Invariant meromorphic functions on Stein spaces ⋮ Kempf-Ness type theorems and Nahm equations ⋮ Complex-analytic quotients of algebraic \(G\)-varieties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quotient spaces modulo algebraic groups
- Algebraic geometry and analytic geometry
- Holomorphe und meromorphe Abbildungen komplexer Räume
- A Künneth formula for coherent algebraic sheaves
- Geometric invariant theory on Stein spaces
- Cartan decomposition of the moment map
- Characterizations of finitely determined equivariant map germs
- Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
- Kähler spaces and proper open morphisms
- Geometric quantization and multiplicities of group representations
- Ein relativer Satz von Chow und die Elimination der Unbestimmtheitsstellen meromorpher Funktionen
- Fonctions différentiables invariantes sous l'opération d'un groupe réductif
- Actions of compact groups on coherent sheaves
- Reduction of complex Hamiltonian \(G\)-spaces
- Three theorems on existence of good quotients
- Equivariant completion
- Linear äquivariante Einbettungen Steinscher Räume. (Linearly equivariant imbeddings of Stein spaces)
- Reductive group actions on Stein spaces
- Holomorphic slices, symplectic reduction and multiplicities of representations
- Kählerian potentials and convexity properties of the moment map
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Some Basic Theorems on Algebraic Groups
- Geometric Invariant Theory
- Chow quotients of Grassmannian I
- PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES
- Projectivity of moment map quotients
