Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II

DOI10.24033/bsmf.2167zbMath0756.14017OpenAlexW2464445995MaRDI QIDQ3986547

Arnaud Beauville

Publication date: 27 June 1992

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1991__119_3_259_0

zbMATH Keywords

moduli spaceKummer varietydeterminant bundlesecond-order theta function on the Jacobian

Mathematics Subject Classification ID

Determinantal varieties (14M12) Families, moduli of curves (algebraic) (14H10) Theta functions and abelian varieties (14K25) Theta functions and curves; Schottky problem (14H42)

Related Items

The action of the Frobenius map on rank 2 vector bundles in characteristic 2, Remark on the moduli space of rank 2 bundles over a curve, On the theta divisor of SU(r; 1), La dimension de l'espace des sections du diviseur thêta généralisé, The theta divisor of \(SU_ C(2,2d)^ s\) is very ample if \(C\) is not hyperelliptic, Orthogonal bundles on curves and theta functions, Self-duality of Coble's quartic hypersurface and applications., RANK FOUR SYMPLECTIC BUNDLES WITHOUT THETA DIVISORS OVER A CURVE OF GENUS TWO, The space of generalized \(G_2\)-theta functions of level 1, The line bundles on the moduli of parabolic G-bundles over curves and their sections, ON THE THETA DIVISOR OF SU(2,1), Unnamed Item, On the Hitchin system, The strange duality conjecture for generic curves, Stable bundles and polyvector fields, Projective normality of the moduli space of rank $2$ vector bundles on a generic 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)
• Fusion rules and modular transformations in 2D conformal field theory
• Quantum field theory and the Jones polynomial
• Classification of vector bundles of rank 2 on hyperelliptic curves
• Moduli of vector bundles on a compact Riemann surface
• On the equations defining Abelian varieties. I-III
• Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta
• La dimension de l'espace des sections du diviseur thêta généralisé
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Theta characteristics of an algebraic curve