Revisiting the moduli space of semistable \(G\)-bundles over elliptic curves

DOI10.5802/aif.3405zbMath1485.14023arXiv1703.09959OpenAlexW3191119690MaRDI QIDQ2073608

Dragos Fratila

Publication date: 3 February 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09959

zbMATH Keywords

elliptic curvemoduli spacesemistableprincipal \(G\)-bundles

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Stacks and moduli problems (14D23)

Related Items (3)

Essentially finite \(G\)-torsors ⋮ Principal bundles on metric graphs: the \(\operatorname{GL}_n\) case ⋮ The Jordan–Chevalley decomposition for 𝐺-bundles on elliptic curves

Cites Work

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• Moduli spaces for principal bundles in arbitrary characteristic
• The line bundles on moduli stacks of principal bundles on a curve
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• Holomorphic principal bundles over elliptic curves. II: The parabolic construction.
• Semistable bundles over an elliptic curve
• Semistable principal bundles. II: Positive characteristics
• Stable principal bundles on a compact Riemann surface
• The Harder-Narasimhan stratification of the moduli stack of \(G\)-bundles via Drinfeld's compactifications
• On Moduli Stacks of G-bundles over a Curve
• Vector Bundles Over an Elliptic Curve
• Addendum to “Semistable reduction of 𝐺-bundles on curves”
• Semistable reduction for $G$-bundles on curves

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