Deformation of rank 2 quasi-bundles and some strange dualities for rational surfaces

DOI10.1215/00127094-2010-063zbMath1208.14034OpenAlexW2065877345MaRDI QIDQ616595

Takeshi Abe

Publication date: 10 January 2011

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

Full work available at URL: https://doi.org/10.1215/00127094-2010-063

zbMATH Keywords

rational surfacemoduli stackquasi-bundleinfinitesimal deformationstrange dualityDonaldson determinant line bundlesemistable sheaf

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Infinitesimal methods in algebraic geometry (14B10) Stacks and moduli problems (14D23)

Related Items (6)

Generating functions for 𝐾-theoretic Donaldson invariants and Le Potier’s strange duality ⋮ Generic strange duality for \(K3\) surfaces ⋮ Moduli spaces of 1-dimensional semi-stable sheaves and strange duality on \(\mathbb{P}^2\) ⋮ Strange duality for height zero moduli spaces of sheaves on \(\mathbb{P}^{2}\) ⋮ A note on strange duality for holomorphic triples on a projective line ⋮ Strange duality on \(\mathbb{P}^2\) via quiver representations

Cites Work

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• The level-rank duality for non-abelian theta functions
• Sheaves on abelian surfaces and strange duality
• Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif. (Sections of the determinant bundle on the moduli space of rank 2 semi-stable sheaves on the projective plane)
• \(K\)-theoretic Donaldson invariants via instanton counting
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• Generalized theta linear series on moduli spaces of vector bundles on curves
• Résultats sur la conjecture de dualité étrange sur le plan projectif
• A tour of theta dualities on moduli spaces of sheaves
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Irreducibility of Moduli Spaces of Vector Bundles on Birationally Ruled Surfaces
• The strange duality conjecture for generic curves
• Functors of Artin Rings

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