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Bruasse, Laurent

Harder-Narasimhan filtration for complex bundles or torsion free sheaves. (Filtration de Harder-Narasimhan pour des fibrés complexes ou des faisceaux sans torsion.) (French) Zbl 1114.32010

Ann. Inst. Fourier 53, No. 2, 541-564 (2003).
Summary: We generalize here the Harder-Narasimhan filtration, on the one hand to the case of complex vector bundles over almost complex manifolds and on the other hand to torsion free sheaves. We also prove the openness of stability in deformation in this very general context.

Cited in 5 Documents

MSC:

32L05 Holomorphic bundles and generalizations
32G13 Complex-analytic moduli problems

Keywords:

Harder-Narasimhan filtration; stability; almost complex structure; sheaves; deformation
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\textit{L. Bruasse}, Ann. Inst. Fourier 53, No. 2, 541--564 (2003; Zbl 1114.32010)
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