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Orthogonal representations of affine group schemes and twists of symmetric bundles
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CASSOU-NOGUÈS, Philippe | |
| hal.structure.identifier | Department of Mathematics [Philadelphia] | |
| dc.contributor.author | CHINBURG, Ted | |
| hal.structure.identifier | Université Toulouse III - Paul Sabatier [UT3] | |
| dc.contributor.author | MORIN, Baptiste | |
| hal.structure.identifier | Mathematical Institute [Oxford] [MI] | |
| dc.contributor.author | TAYLOR, Martin | |
| dc.date.accessioned | 2024-04-04T03:21:19Z | |
| dc.date.available | 2024-04-04T03:21:19Z | |
| dc.date.created | 2011-11-07 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194649 | |
| dc.description.abstractEn | Following Serre's initial work, a number of authors have considered twists of quadratic forms on a scheme Y by torsors of a finite group G, together with formulas for the Hasse-Witt invariants of the twisted form. In this paper we take the base scheme Y to be affine and consider non-constant groups schemes G. There is a fundamental new feature in this case - in that the torsor may now be ramified over Y. The natural framework for handling the case of a non-constant group scheme over the affine base is provided by the quadratic theory of Hopf-algebras. | |
| dc.language.iso | en | |
| dc.title.en | Orthogonal representations of affine group schemes and twists of symmetric bundles | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1111.1590 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01027779 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01027779v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CASSOU-NOGU%C3%88S,%20Philippe&CHINBURG,%20Ted&MORIN,%20Baptiste&TAYLOR,%20Martin&rft.genre=preprint |
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