Singularities of moduli spaces of vector bundles over curves in characteristic \(0\) and \(p\)

DOI10.1307/MMJ/1220879395zbMath1181.14037OpenAlexW2028781936MaRDI QIDQ841517

T. E. Venkata Balaji, Vikram B. Mehta

Publication date: 17 September 2009

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

Full work available at URL: https://doi.org/10.1307/mmj/1220879395

zbMATH Keywords

characteristic \(p\)moduli spacesemistable vector bundlesnonsingular projective curve

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Actions of groups on commutative rings; invariant theory (13A50) Vector bundles on curves and their moduli (14H60)

Related Items (2)

The Picard group of a coarse moduli space of vector bundles in positive characteristic ⋮ Density of vector bundles periodic under the action of Frobenius

Cites Work

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• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Cohomology of induced representations for algebraic groups
• Geometric reductivity over arbitrary base
• Standard monomial bases and geometric consequences for certain rings of invariants
• Moduli of vector bundles, Frobenius splitting, and invariant theory
• Tight closure and strong F-regularity
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• Good filtrations of symmetric algebras and strong F-regularity of invariant subrings.

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