English

Moduli spaces of orthogonal bundles over an algebraic curve

Algebraic Geometry 2007-05-23 v1 Representation Theory

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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Cite

@article{arxiv.math/0609520,
  title  = {Moduli spaces of orthogonal bundles over an algebraic curve},
  author = {Olivier Serman},
  journal= {arXiv preprint arXiv:math/0609520},
  year   = {2007}
}

Comments

13 pages