Semi-stable Higgs sheaves and Bogomolov type inequality

DOI10.1007/s00526-017-1174-0zbMath1421.53031arXiv1601.00729OpenAlexW2963798136MaRDI QIDQ2403777

Chuanjing Zhang, Xi Zhang, Jiayu Li

Publication date: 12 September 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00729

zbMATH Keywords

compact Kähler manifoldsHermitian-Einstein structuresemi-stable reflexive Higgs sheaf

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Higgs bundles over foliation manifolds, Generalized Donaldson functionals and related nonlinear partial differential equations, A note on Bogomolov-type inequality for semi-stable parabolic Higgs bundles, Hermitian-Einstein metrics for Higgs bundles over complete Hermitian manifolds, Semi-stable holomorphic vector bundles over generalized Kähler manifolds, Semi-stability for bi-holomorphic pairs over compact bi-Hermitian Gauduchon manifolds, Flat Higgs bundles over non-compact affine Gauduchon manifolds, A Liouville theorem on complete non-Kähler manifolds, The limit of the Hermitian-Yang-Mills flow on reflexive sheaves, The Hitchin-Kobayashi correspondence for holomorphic pairs over non-Kähler manifolds, A note on curvature estimate of the Hermitian-Yang-Mills flow, Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds, Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds, Semi-stability for holomorphic pairs on compact Gauduchon manifolds, Higgs bundles over non-compact Gauduchon manifolds

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