Strange duality at level one for alternating vector bundles

2024/09/11 by Hacen Zelaci, Zelaci, Hacen · 1 citation
Mathematics · Medicine · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Intracerebral and Subarachnoid Hemorrhage Research

paper · pdf · doi:10.48550/arxiv.2409.07303

openalex publication_date 2024/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Abelianization of the SL₂ Hitchin connection at level four

Related

• Moduli spaces of anti-invariant vector bundles and twisted conformal blocks
• Orthogonal bundles, theta characteristics and the symplectic strange duality
• Sheaves on abelian surfaces and Strange Duality
• The strange duality conjecture for generic curves
• Torsors on moduli spaces of principal G-bundles