NDLI: Moduli spaces of orthogonal and symplectic bundles over an algebraic curve

Content Provider	Scilit
Author	Serman, Olivier
Copyright Year	2008
Description	Journal: Compositio Mathematica We prove that, given a smooth projective curve C of genus g≥2, the forgetful morphism $\mathcal {M}_{\mathbf {O}_r} \longrightarrow \mathcal {M}_{\mathbf {GL}_r}$ (respectively $\mathcal M_{\mathbf {Sp}_{2r}}\longrightarrow \mathcal M_{\mathbf {GL}_{2r}}$ ) 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.
Ending Page	733
Starting Page	721
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x07003247
Journal	Compositio Mathematica
Issue Number	3
Volume Number	144
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2008-05-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Particles and Fields Physics
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Moduli spaces of orthogonal and symplectic bundles over an algebraic curve