Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles

DOI10.1070/SM9387zbMath1464.32028arXiv2002.02677OpenAlexW4287871058WikidataQ113854097 ScholiaQ113854097MaRDI QIDQ4988803

Jean-Pierre Demailly

Publication date: 19 May 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02677

zbMATH Keywords

ample vector bundleGriffiths positivityHermitian-Yang-Mills equation

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

Monge-Ampére functionals for the curvature tensor of a holomorphic vector bundle ⋮ The Demailly system for a direct sum of ample line bundles on Riemann surfaces ⋮ The Demailly systems with the vortex ansatz ⋮ Positively curved Finsler metrics on vector bundles. II ⋮ On an asymptotic characterisation of Griffiths semipositivity ⋮ A note on Demailly's approach towards a conjecture of Griffiths

Cites Work

• Unnamed Item
• Unnamed Item
• On complex analytic vector bundles
• A characterization of ample vector bundles on a curve
• A note on Demailly's approach towards a conjecture of Griffiths
• A vector bundle version of the Monge-Ampère equation
• Curvature of vector bundles associated to holomorphic fibrations
• Stable and unitary vector bundles on a compact Riemann surface
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• Some results in the theory of vector bundles
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Hodge metrics and positivity of direct images