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Moduli spaces of orthogonal bundles over an algebraic curve

Olivier Serman
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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.

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Olivier Serman. 2006-09-19. Moduli spaces of orthogonal bundles over an algebraic curve. https://arxiv.org/abs/math/0609520

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