HECKE CORRESPONDENCE FOR SYMPLECTIC BUNDLES WITH APPLICATION TO THE PICARD BUNDLES

DOI10.1142/S0129167X06003357zbMath1093.14046MaRDI QIDQ3379438

Tomás L. Gómez, Indranil Biswas

Publication date: 6 April 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

moduli spacesPicard bundleHecke transformationsymplectic bundle on a curve

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (10)

AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES ⋮ Lagrangian subbundles of symplectic bundles over a curve ⋮ Torelli theorem for the moduli space of symplectic parabolic Higgs bundles ⋮ Stability of symplectic and orthogonal Poincaré bundles ⋮ Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles ⋮ Stability and deformations of generalised Picard sheaves ⋮ Counting maximal Lagrangian subbundles over an algebraic curve ⋮ Brill-Noether loci on moduli spaces of symplectic bundles over curves ⋮ Irreducibility of Lagrangian quot schemes over an algebraic curve ⋮ Isotropic Quot schemes of orthogonal bundles over a curve

Cites Work

• Some remarks on the instability flag
• Moduli for principal bundles over algebraic curves. I
• Toward the inversion of abelian integrals. I
• Stable principal bundles on a compact Riemann surface
• STABILITY OF THE PICARD BUNDLE
• Duality between D(X) and with its application to picard sheaves
• Characteristic Classes and Homogeneous Spaces, I
• SPECTRAL CURVES, THETA DIVISORS AND PICARD BUNDLES
• On a theorem of Ramanan
• The Picard group of the moduli of G-bundles on a curve
• Stability of Picard bundle over moduli space of stable vector bundles of rank two over a curve

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