Moduli spaces of orthogonal bundles over an algebraic curve

Abstract

We prove that the forgetful morphism from the moduli space of orthogonal bundles to the moduli space of vector bundles over a smooth curve is an embedding. Our proof relies on an explicit description of a set of generators for the invariants on the representation space of a quiver under the action of a product of classical groups.

arXiv comment13 pages

References in corpus (1)

• The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian

Cited by in corpus (1)

• Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles