Semistable principal bundles. I: Characteristic zero.

DOI10.1016/S0021-8693(02)00502-1zbMath1099.14502WikidataQ102988137 ScholiaQ102988137MaRDI QIDQ1858281

Conjeevaram Srirangachari Seshadri, Vikraman Balaji

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (12)

Non-properness of the functor of \(F\)-trivial bundles ⋮ Meromorphic Higgs bundles and related geometries ⋮ Note on the stability of principal bundles ⋮ Moduli of parahoric 𝒢-torsors on a compact Riemann surface ⋮ Essentially finite \(G\)-torsors ⋮ Semistable and numerically effective principal (Higgs) bundles ⋮ Unnamed Item ⋮ Moduli spaces for principal bundles in arbitrary characteristic ⋮ Semistable reduction for $G$-bundles on curves ⋮ Singular principal \(G\)-bundles on nodal curves ⋮ Principal bundles over a projective scheme ⋮ Principal bundles over projective manifolds with parabolic structure over a divisor

Cites Work

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• Semistable principal bundles. II: Positive characteristics
• Stable principal bundles on a compact Riemann surface
• Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups
• Maximality of Galois actions for compatible systems
• Stable and unitary vector bundles on a compact Riemann surface
• The irreducibility of the space of curves of a given genus
• Reductive groups over a local field
• Principal bundles with parabolic structure
• Néron Models
• The Yang-Mills equations over Riemann surfaces

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