Reciprocity law for compatible systems of abelian mod $p$ Galois representations

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dc.creatorKhare, Chandrashekhar
dc.date2003-09-18
dc.date.accessioned2026-07-07T05:01:14Z
dc.date.available2026-07-07T05:01:14Z
dc.descriptionThe main result of the paper is a reciprocity law which proves that compatible systems of semisimple, abelian mod $p$ representations (of arbitrary dimension) of absolute Galois groups of number fields, arise from Hecke characters. In the last section of the paper analogs for Galois groups of function fields of these results are explored, and a question is raised whose answer will require developments in transcendence theory in characteristic $p$.
dc.identifierhttps://arxiv.org/abs/math/0309292
dc.identifierhttp://arxiv.org/abs/math/0309292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68601
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleReciprocity law for compatible systems of abelian mod $p$ Galois representations
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