Chow-stability and Hilbert-stability in Mumford's geometric invariant theory

zbMath1156.14039arXivmath/0607590MaRDI QIDQ953945

Toshiki Mabuchi

Publication date: 7 November 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607590

zbMATH Keywords

Chow stabilityHilbert-Mumford criterionHilbert stability

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Kähler manifolds (32Q15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Related Items (7)

Some Remarks About Chow, Hilbert and K-stability of Ruled Threefolds ⋮ New slope inequalities for families of complete intersections ⋮ A generalization of the Ross-Thomas slope theory ⋮ Chow-stability and Hilbert-stability in Mumford's geometric invariant theory ⋮ On Chow stability for algebraic curves ⋮ Scalar curvature and asymptotic Chow stability of projective bundles and blowups ⋮ Stability of hypersurface sections of quadric threefolds

Cites Work

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• Chow-stability and Hilbert-stability in Mumford's geometric invariant theory
• Stability of projective varieties
• Geometric analysis of Chow Mumford stability.
• Scalar curvature and stability of toric varieties.
• The GIT stability of polarized varieties via discrepancy
• Lower bounds on the Calabi functional
• Scalar curvature and projective embeddings, II
• Geometric Invariant Theory
• Truncated Hilbert functors.
• Varieties Defined by Quadratic Equations

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