A Riemann theorem for the theta divisors on moduli spaces of stable fibre bundles over a curve

DOI10.1215/S0012-7094-91-06416-1zbMath0753.14023OpenAlexW1528952438MaRDI QIDQ1190841

Yves Laszlo

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06416-1

zbMATH Keywords

stable vector bundlegeneralized theta divisorRiemann singularity theorem

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Vector bundles on curves and their moduli (14H60) Theta functions and curves; Schottky problem (14H42)

Related Items

Families of vector bundles and linear systems of theta divisors ⋮ Special line bundles on curves with involution ⋮ Theta divisors and differential forms ⋮ Singular locus of the theta divisor for vector bundles of rank two ⋮ Nonemptiness and smoothness of twisted Brill-Noether loci ⋮ The theta divisor of \(SU_ C(2,2d)^ s\) is very ample if \(C\) is not hyperelliptic ⋮ Self-duality of Coble's quartic hypersurface and applications. ⋮ Moduli spaces of vector bundles on a curve and opers ⋮ The universal difference variety over \(\overline{\mathcal M}_g\) ⋮ RANK FOUR SYMPLECTIC BUNDLES WITHOUT THETA DIVISORS OVER A CURVE OF GENUS TWO ⋮ Addition formulae for non-abelian theta functions and applications. ⋮ ON THE THETA DIVISOR OF SU(2,1) ⋮ On the Hitchin system ⋮ Genus 2 curves and generalized theta divisors ⋮ Rank four vector bundles without theta divisor over a curve of genus two ⋮ Theta divisors of stable vector bundles may be nonreduced ⋮ A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle ⋮ A note on theta divisors of stable bundles ⋮ Singularities of Brill-Noether loci for vector bundles on a curve ⋮ Subvarieties of 𝒮𝒰_{𝒞}(2) and 2𝜃-divisors in the Jacobian

Cites Work

• 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)
• Vector spaces of matrices of low rank
• Flat connections and geometric quantization
• Sections des fibrés vectoriels sur une courbe
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