Polystable bundles and representations of their automorphisms

DOI10.1515/coma-2021-0131zbMath1484.14091OpenAlexW4226335925MaRDI QIDQ2119247

Georg Schumacher, Nicholas P. Buchdahl

Publication date: 23 March 2022

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2021-0131

zbMATH Keywords

geometric invariant theoryKählerpolystableHermite-Einstein

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Kähler manifolds (32Q15) Complex-analytic moduli problems (32G13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items

Weil–Petersson forms for families of polystable bundles over compact Kähler manifolds ⋮ Hermitian Yang-Mills connections on pullback bundles

Cites Work

• Existence of approximate Hermitian-Einstein structures on semi-stable bundles
• Stable 2-bundles on Hirzebruch surfaces
• The topology of quotient varieties
• Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
• Stability of Einstein-Hermitian vector bundles
• On the locally complete families of complex analytic structures
• Gradient flow of the norm squared of a moment map
• Instantons and geometric invariant theory
• The moduli space of Hermite-Einstein bundles on a compact Kähler manifold
• Sequences of stable bundles over compact complex surfaces
• Hermitian-Einstein connections and stable vector bundles over compact complex surfaces
• Kuranishi family of vector bundles and algebraic description of the moduli space of Einstein-Hermitian connections
• An analytic application of Geometric Invariant Theory
• Extremal Kähler metrics on projectivized vector bundles
• Über die Deformationen von Vektorraumbündeln auf kompakten komplexen Räumen
• An analytic application of Geometric Invariant Theory. II: Coarse moduli spaces
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• The Kähler-Ricci flow and K-polystability
• A Stratification of the Null Cone Via the Moment Map
• First Chern class and holomorphic tensor fields
• Self-duality in four-dimensional Riemannian geometry
• Geometric Invariant Theory
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Deformation of complex structures and the coupled Kähler-Yang-Mills equations
• Stable Vector Bundles on Algebraic Surfaces
• Curvature and stability of vector bundles
• Lie groups beyond an introduction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item