Components of the stack of torsion-free sheaves of rank 2 on ruled surfaces

DOI10.1007/BF01446655zbMath0820.14029arXivalg-geom/9312011OpenAlexW2962968984MaRDI QIDQ1891220

Charles Walter

Publication date: 17 September 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9312011

zbMATH Keywords

ruled surfaceBrill-Noether locicomponents of the moduli stack

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (3)

On the Stratification of Nested Hilbert Schemes ⋮ Classifying the irreducible components of moduli stacks of torsion free sheaves on \(K3\) surfaces and an application to Brill-Noether theory ⋮ Prioritary omalous bundles on Hirzebruch surfaces

Cites Work

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• Sur l'irréductibilité du module des fibres stables sur \(P_ 2\)
• Modulräume stabiler Vektorraumbündel vom Rang 2 auf rationalen Regelflächen
• Maximal families of superabundant point systems in \(\mathbb{P}^ 2\)
• Moduli of vector bundles on the projective plane
• Stable rank-2 vector bundles on \(\mathbb{P}_2\) with \(c_1\) odd
• Generic fibres on the projective plane

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