Bilinear forms and extremal Kähler vector fields associated with Kähler classes
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Publication:1345920
DOI10.1007/BF01446626zbMath0831.53042OpenAlexW2914479540MaRDI QIDQ1345920
Publication date: 12 February 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165288
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some symplectic geometry on compact Kähler manifolds. I
- Convexity properties of the moment mapping
- Kähler-Einstein metrics and integral invariants
- On automorphism groups of compact Kähler manifolds
- \(Q\)-rationality of moment maps
- Extremal Kähler metrics and complex deformation theory
- Convexity and Commuting Hamiltonians
- A CONJECTURE ON THE GROUP OF BIHOLOMORPHISMS OF A NONSINGULAR FANO VARIETY
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