The geometric correspondence in some special cases

Mathematics – Algebraic Geometry

Scientific paper

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9 pages, see also http://picard.ups-tlse.fr/~poirier

Scientific paper

The geometric Langlands correspondence for function fields over finite fields
has been proved by Frenkel, Gaitsgory, Vilonen. The aim of this article is to
write translation for curves over the complex field and prove the
correspondence in some special cases and some new cases, outside the frame of
the usual geometric Langlands correspondence.

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