Orthogonal bundles, theta characteristics and the symplectic strange duality

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dc.creatorBelkale, Prakash
dc.date2008-08-06
dc.date2008-08-13
dc.date.accessioned2026-07-07T09:56:10Z
dc.date.available2026-07-07T09:56:10Z
dc.descriptionA basis for the space of generalized theta functions of level one for the spin groups, parameterized by the theta characteristics (the even theta characteristcs for the odd spin groups) on a curve, is shown to be projectively flat over the moduli space of curves (for Hitchin's connection). The symplectic strange duality conjecture, conjectured by Beauville is shown to hold for all curves of genus at least two, by using Abe's proof of the conjecture for generic curves, and the above monodromy result.
dc.descriptionSome references were added, and some minor changes were made
dc.identifierhttps://arxiv.org/abs/0808.0863
dc.identifierhttp://arxiv.org/abs/0808.0863
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166882
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14H60; 14H70
dc.titleOrthogonal bundles, theta characteristics and the symplectic strange duality
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