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Moduli spaces of orthogonal and symplectic bundles over an algebraic curve
- Part of
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- Journal:
- Compositio Mathematica / Volume 144 / Issue 3 / May 2008
- Published online by Cambridge University Press:
- 01 May 2008, pp. 721-733
- Print publication:
- May 2008
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- Article
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We prove that, given a smooth projective curve C of genus g≥2, the forgetful morphism
(respectively 
) from the moduli space of orthogonal (respectively symplectic) bundles to the moduli space of all vector bundles over C is an embedding. Our proof relies on an explicit description of a set of generators for the polynomial invariants on the representation space of a quiver under the action of a product of classical groups.
(respectively 
) from the moduli space of orthogonal (respectively symplectic) bundles to the moduli space of all vector bundles over 