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Displaying similar documents to “Restriction of stable bundles on a Jacobian of genus 2 to an embedded curve.”

A Torelli theorem for moduli spaces of principal bundles over a curve

Indranil Biswas, Norbert Hoffmann (2012)

Annales de l’institut Fourier

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Let X and X be compact Riemann surfaces of genus 3 , and let G and G be nonabelian reductive complex groups. If one component G d ( X ) of the coarse moduli space for semistable principal G –bundles over X is isomorphic to another component G d ( X ) , then X is isomorphic to X .

Orthogonal bundles on curves and theta functions

Arnaud Beauville (2006)

Annales de l’institut Fourier

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Let be the moduli space of principal SO r -bundles on a curve C , and the determinant bundle on . We define an isomorphism of H 0 ( , ) onto the dual of the space of r -th order theta functions on the Jacobian of C . This isomorphism identifies the rational map | | * defined by the linear system | | with the map | r Θ | which associates to a quadratic bundle ( E , q ) the theta divisor Θ E . The two components + and - of are mapped into the subspaces of even and odd theta functions respectively. Finally we discuss...