Moduli theory, stability of fibrations and optimal symplectic connections

DOI10.2140/gt.2021.25.2643OpenAlexW3200014914MaRDI QIDQ1984330

Lars Martin Sektnan, Ruadhaí Dervan

Publication date: 16 September 2021

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12701

zbMATH Keywords

stabilityfibrationsKähler geometrymoduli

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Algebraic moduli problems, moduli of vector bundles (14D20) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (3)

Geodesics in the space of relatively Kähler metrics ⋮ Extremal metrics on the total space of destabilising test configurations ⋮ Optimal symplectic connections and deformations of holomorphic submersions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
• Nonexistence of asymptotic GIT compactification
• Compact moduli spaces of Kähler-Einstein Fano varieties
• Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics
• Balance point and stability of vector bundles over a projective manifold
• The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics
• Canonical metrics on stable vector bundles
• On a set of polarized Kähler metrics on algebraic manifolds
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Kähler-Einstein metrics with positive scalar curvature
• Scalar curvature and projective embeddings. I
• Relative K-stability for Kähler manifolds
• Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
• Moment map, Futaki invariant and stability of projective manifolds
• Scalar curvature and stability of toric varieties.
• Convergence de la mêtrique de Fubini-Study d'un fibré linéaire positif. (Convergence of the Fubini-Study metric of a positive line bundle.)
• A generalization of the Ross-Thomas slope theory
• Height and GIT weight
• On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties
• A note on the generalization of the Kodaira embedding theorem
• Deformations from a given Kähler metric to a twisted cscK metric
• Special test configuration and \(K\)-stability of Fano varieties
• A finite dimensional approach to Donaldson's J-flow
• Existence of twisted constant scalar curvature Kähler metrics with a large twist
• Stable maps in higher dimensions
• Filtrations and test-configurations
• The J-flow and stability
• Probability measures associated to geodesics in the space of Kähler metrics
• Fibrations with constant scalar curvature Kähler metrics and the CM-line bundle
• Lower bounds on the Calabi functional
• An obstruction to the existence of constant scalar curvature Kähler metrics
• Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties
• 3264 and All That
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• A note on positivity of the CM line bundle
• A study of the Hilbert-Mumford criterion for the stability of projective varieties
• A Simple Limit for Slope Instability
• Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Test configurations and Okounkov bodies
• Optimal Symplectic Connections on Holomorphic Submersions
• Geometric criterion for Gieseker-Mumford stability of polarized manifolds

This page was built for publication: Moduli theory, stability of fibrations and optimal symplectic connections