Scalar curvature and asymptotic Chow stability of projective bundles and blowups

DOI10.1090/S0002-9947-2012-05587-5zbMath1288.32033arXiv1009.5755OpenAlexW2951938792MaRDI QIDQ2844848

Alberto Della Vedova, Fabio Zuddas

Publication date: 20 August 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5755

zbMATH Keywords

Kähler geometryconstant scalar curvatureasymptotic Chow stabilityhigher Futaki invariants

Mathematics Subject Classification ID

Kähler manifolds (32Q15)

Related Items (19)

Quantisation of extremal Kähler metrics ⋮ Quantum moment map and obstructions to the existence of closed Fedosov star products ⋮ Relative algebro-geometric stabilities of toric manifolds ⋮ Slope instability of projective spaces blown up along a line ⋮ Some Remarks About Chow, Hilbert and K-stability of Ruled Threefolds ⋮ Relative Chow stability and optimal weights ⋮ Some characterizations of the complex projective space via Ehrhart polynomials ⋮ A note on Chow stability of the projectivization of Gieseker stable bundles ⋮ Big and Nef Classes, Futaki Invariant and Resolutions of Cubic Threefolds ⋮ Geometric quantization of coupled Kähler-Einstein metrics ⋮ Extremal Kähler metrics on projectivized vector bundles ⋮ About canonical Kähler metrics on Mumford semistable projective bundles over a curve ⋮ Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics ⋮ A moment map picture of relative balanced metrics on extremal Kähler manifolds ⋮ Extremal metrics and lower bound of the modified K-energy ⋮ Relative K-polystability of projective bundles over a curve ⋮ On homothetic balanced metrics ⋮ Some remarks on the Kähler geometry of the Taub-NUT metrics ⋮ Balanced metrics and Chow stability of projective bundles over Riemann surfaces

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