HARDER–NARASIMHAN FILTRATION ON NON KÄHLER MANIFOLDS

DOI10.1142/S0129167X01000897zbMath1111.32303MaRDI QIDQ4807356

Laurent Bruasse

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

compact complex manifoldsHarder-Narasimhan filtrationdegree mapGauduchon's metricweakly holomorphic bundles

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Holomorphic bundles and generalizations (32L05)

Related Items

On the volume of a pseudo-effective class and semi-positive properties of the Harder–Narasimhan filtration on a compact Hermitian manifold ⋮ Flat bundles on affine manifolds ⋮ Numerically flat holomorphic bundles over non-Kähler manifolds ⋮ Optimal destabilizing vectors in some gauge theoretical moduli problems ⋮ Harder-Narasimhan filtration for complex bundles or torsion free sheaves. ⋮ Stability problems and non-Kähler surfaces ⋮ Semistability of invariant bundles over \(G/\Gamma \) ⋮ HERMITIAN–EINSTEIN CONNECTIONS ON PRINCIPAL BUNDLES OVER FLAT AFFINE MANIFOLDS ⋮ From non-Kählerian surfaces to Cremona group of \(\mathbb{P}^2(\mathbb{C})\) ⋮ Semistable Higgs bundles over compact Gauduchon manifolds ⋮ SYMPLECTIC STABILITY, ANALYTIC STABILITY IN NON-ALGEBRAIC COMPLEX GEOMETRY ⋮ Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry.

Cites Work

• La 1-forme de torsion d'une variété hermitienne compacte
• The theorem of Grauert-Mülich-Spindler
• On the cohomology groups of moduli spaces of vector bundles on curves
• A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
• On the existence of hermitian-yang-mills connections in stable vector bundles