Moduli spaces of orthogonal bundles over an algebraic curve

Details Moduli spaces of orthogonal bundles over an algebraic curve Moduli spaces of orthogonal bundles over an algebraic curve

2006-09-19

arxiv.org/abs/math/0609520v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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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