Asymptotics of the Yang-Mills flow for holomorphic vector bundles over Kähler manifolds: the canonical structure of the limit

DOI10.1515/crelle-2013-0063zbMath1329.58006arXiv1206.5491OpenAlexW2963699618MaRDI QIDQ499888

Benjamin Sibley

Publication date: 7 October 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5491

zbMATH Keywords

resolution of singularitiescompact Kähler manifoldsYang-Mills flowholomorphic bundlesblowupsHarder-Narasimhan-Seshadri filtrationHermitian structuressubsheavesUhlenbeck compactnessweakly holomorphic projections

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Kähler-Einstein manifolds (32Q20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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