Monge-Ampére functionals for the curvature tensor of a holomorphic vector bundle

DOI10.1007/s10476-022-0156-4OpenAlexW4225925754WikidataQ114227593 ScholiaQ114227593MaRDI QIDQ2151136

Jean-Pierre Demailly

Publication date: 30 June 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14463

zbMATH Keywords

curvature tensorholomorphic vector bundleelliptic operatorHermitian metricMonge-Ampére equationGriffiths positivityNakano positivitydual Nakano 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)

Cites Work

• Unnamed Item
• Unnamed Item
• On complex analytic vector bundles
• 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
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• 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
• Positivity and vanishing theorems for ample vector bundles
• Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles
• Hodge metrics and positivity of direct images