𝐿²-metrics, projective flatness and families of polarized abelian varieties

DOI10.1090/S0002-9947-03-03488-3zbMath1055.14046OpenAlexW1548093960MaRDI QIDQ4813782

Lin Weng, Wing-Keung To

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03488-3

zbMATH Keywords

curvature tensorHermitian vector bundlesconnectionscompact Kähler manifoldsanalytic families

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Kähler-Einstein manifolds (32Q20) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Deformations of fiber bundles (32G08)

Related Items (3)

Theta functions and adiabatic curvature on an abelian variety ⋮ Curvature of higher direct images ⋮ Theta functions and adiabatic curvature on an elliptic curve

Cites Work

• The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics
• Stability of Einstein-Hermitian vector bundles
• Geometric quantization of Chern-Simons gauge theory
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature
• A new proof of a theorem of Narasimhan and Seshadri
• Stable and unitary vector bundles on a compact Riemann surface
• Flat connections and geometric quantization
• Complex Analytic Connections in Fibre Bundles
• On Automorphisms of A Kählerian Structure
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Geometric Invariant Theory
• Curvature of the L2-metric on the direct image of a family of Hermitian-Einstein vector bundles
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Curvature and stability of vector bundles
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