{"title":"Strange duality at level one for alternating vector bundles","authors":"Hacen Zelaci","doi":"arxiv-2409.07303","DOIUrl":null,"url":null,"abstract":"In this paper, we show a strange duality isomorphism at level one for the\nspace of generalized theta functions on the moduli spaces of alternating\nanti-invariant vector bundles in the ramified case. These anti-invariant vector\nbundles constitute one of the non-trivial examples of parahoric G-torsors,\nwhere G is a twisted (not generically split) parahoric group scheme.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07303","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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