Geometric criterion for Gieseker-Mumford stability of polarized manifolds
From MaRDI portal
Publication:5960511
DOI10.4310/jdg/1214461111zbMath1006.32022OpenAlexW1544507452WikidataQ115173829 ScholiaQ115173829MaRDI QIDQ5960511
Publication date: 8 April 2002
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214461111
Geometric invariant theory (14L24) Parametrization (Chow and Hilbert schemes) (14C05) Kähler-Einstein manifolds (32Q20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Integration on analytic sets and spaces, currents (32C30)
Related Items
Stability and integration over Bergman metrics ⋮ Quantisation of extremal Kähler metrics ⋮ Balanced metrics and Chow stability of projective bundles over Kähler manifolds II ⋮ Relative Chow stability and optimal weights ⋮ Quot-scheme limit of Fubini-study metrics and its applications to balanced metrics ⋮ Anticanonically balanced metrics and the Hilbert-Mumford criterion for the \(\delta_m\)-invariant of Fujita-Odaka ⋮ From Riemann and Kodaira to modern developments on complex manifolds ⋮ Unnamed Item ⋮ Geometric analysis of Chow Mumford stability. ⋮ Kähler-Einstein metrics ⋮ A note on Chow stability of the projectivization of Gieseker stable bundles ⋮ Stable bundles and the first eigenvalue of the Laplacian ⋮ Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability ⋮ Complex geometry: its brief history and its future ⋮ Moduli theory, stability of fibrations and optimal symplectic connections ⋮ Balanced metrics on twisted Higgs bundles ⋮ Quantization and the Hessian of Mabuchi energy ⋮ A splitting theorem for extremal Kähler metrics ⋮ The log term of the Szegö kernel ⋮ Relative Chow stability and extremal metrics ⋮ Bergman kernel from path integral ⋮ Balanced metrics and Chow stability of projective bundles over Kähler manifolds ⋮ A moment map picture of relative balanced metrics on extremal Kähler manifolds ⋮ EXISTENCE OF EXTREMAL METRICS ON ALMOST HOMOGENEOUS MANIFOLDS OF COHOMOGENEITY ONE — III ⋮ Balanced metrics and Chow stability of projective bundles over Riemann surfaces ⋮ Relative stability associated to quantised extremal Kähler metrics ⋮ Projective embeddings and Lagrangian fibrations of Abelian varieties ⋮ Expected centre of mass of the random Kodaira embedding
