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On M-O.Ore determinants

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFRESNEL, Jean
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMATIGNON, Michel
dc.date.accessioned2024-04-04T02:41:38Z
dc.date.available2024-04-04T02:41:38Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191168
dc.description.abstractEnThe existence of certain Fq-spaces of differential forms of the projective line over a field K containing Fq leads us to prove an identity linking the determinant of the Moore matrix of n indeterminates with the determinant of the Moore matrix of the cofactors of its first row. These same spaces give an interpretation of Elkies pairing in terms of residues of differential forms. This pairing puts in duality the Fq-vector space of the roots of a Fq-linear polynomial and that of the roots of its reversed polynomial.
dc.language.isoen
dc.title.enOn M-O.Ore determinants
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Algèbre commutative [math.AC]
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.identifier.arxiv2201.02361
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03515442
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03515442v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=FRESNEL,%20Jean&MATIGNON,%20Michel&rft.genre=preprint


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