Harder–Narasimhan reduction of a principal bundle

DOI10.1017/S0027763000008850zbMath1056.14046OpenAlexW1564991886MaRDI QIDQ4818209

Yogish I. Holla, Indranil Biswas

Publication date: 27 September 2004

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008850

zbMATH Keywords

vector bundlescurvescanonical reduction

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Holomorphic bundles and generalizations (32L05)

Related Items (18)

A Harder–Narasimhan stratification of the -Grassmannian ⋮ On the Gieseker Harder-Narasimhan filtration for principal bundles ⋮ Principal bundles over a curve in positive characteristic. II ⋮ Principal bundles over the projective line ⋮ Morse theory for the space of Higgs \(G\)-bundles ⋮ 2-Selmer groups of even hyperelliptic curves over function fields ⋮ The multiplicative eigenvalue problem and deformed quantum cohomology ⋮ Fargues-Rapoport conjecture for \(p\)-adic period domains in the non-basic case ⋮ On automorphisms of semistable \(G\)-bundles with decorations ⋮ G-torseurs en théorie de Hodgep-adique ⋮ HERMITIAN–EINSTEIN CONNECTIONS ON PRINCIPAL BUNDLES OVER FLAT AFFINE MANIFOLDS ⋮ Schematic Harder-Narasimhan stratification for families of principal bundles and \(\lambda\)-modules ⋮ Restriction theorems for principal bundles in arbitrary characteristic ⋮ On Harder-Narasimhan reductions for Higgs principal bundles ⋮ Semistable reduction for $G$-bundles on curves ⋮ On the average number of 2-Selmer elements of elliptic curves over \(\mathbb F_q(X)\) with two marked points ⋮ Geometrizing the minimal representations of even orthogonal groups ⋮ Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields

Cites Work

• Some remarks on the instability flag
• On the cohomology groups of moduli spaces of vector bundles on curves
• On the semisimplicity of tensor products of representations of groups
• Semi-stability of reductive group schemes over curves
• Harder-Narasimhan reduction for principal bundles over a compact Kähler manifold

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