Geometric Eisenstein series

Details Geometric Eisenstein series Geometric Eisenstein series

1999-12-12

arxiv.org/abs/math/9912097v2

Mathematics

Algebraic Geometry

Revised version

Scientific paper

The purpose of this of this paper is to develop the theory of Eisenstein series in the framework of geometric Langlands correspondence. Our construction is based on the study of certain relative compactification of the moduli stack of parabolic bundles on a curve suggested by V.Drinfeld. As an application we construct certain automorphic forms for global fields of positive characteristic, whose existence is non-obvious from the point of view of classical tools.

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