Principal \(G\)-bundles on nodal curves

DOI10.1007/BF02829597zbMath1015.14019OpenAlexW2108054728MaRDI QIDQ5949623

Usha N. Bhosle

Publication date: 10 August 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829597

zbMATH Keywords

fundamental grouploop groups\(G\)-bundles on a nodal curvestack of generalized parabolic bundlesstack of principal \(G\)-bundles

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Coverings of curves, fundamental group (14H30) Vector bundles on curves and their moduli (14H60) Singularities of curves, local rings (14H20)

Related Items

On Higgs bundles on nodal curves ⋮ Moduli spaces of vector bundles on a real nodal curve ⋮ Generalized parabolic structures over smooth curves with many components and principal bundles over reducible nodal curves ⋮ The Jordan–Chevalley decomposition for 𝐺-bundles on elliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A vanishing theorem for group compactifications
• Demazure character formula in arbitrary Kac-Moody setting
• Linear algebraic groups
• Borel-Weil-Bott theory on the moduli stack of \(G\)-bundles over a curve
• Picard groups of the moduli spaces of vector bundles
• Conformal blocks and generalized theta functions
• Picard group of the moduli spaces of \(G\)-bundles
• Generalized parabolic bundles and applications. II
• Stable principal bundles on a compact Riemann surface
• Representations of the fundamental group and vector bundles
• \(B\)-structures on \(G\)-bundles and local triviality
• Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves
• On moduli of G-bundles on a curve for exceptional G
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• Vector Bundles on Curves with Many Components
• THE LANGLANDS LEMMA AND THE BETTI NUMBERS OF STACKS OF G-BUNDLES ON A CURVE