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arXiv · 2409.07303

Strange duality at level one for alternating vector bundles

Hacen Zelaci
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Abstract

In this paper, we show a strange duality isomorphism at level one for the space of generalized theta functions on the moduli spaces of alternating anti-invariant vector bundles in the ramified case. These anti-invariant vector bundles constitute one of the non-trivial examples of parahoric G-torsors, where G is a twisted (not generically split) parahoric group scheme.

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Hacen Zelaci. 2024-09-11. Strange duality at level one for alternating vector bundles. https://arxiv.org/abs/2409.07303

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