The Langlands-Kottwitz approach for the modular curve

Details The Langlands-Kottwitz approach for the modular curve The Langlands-Kottwitz approach for the modular curve

2010-03-09

arxiv.org/abs/1003.1935v1

Mathematics

Algebraic Geometry

39 pages

Scientific paper

We show how the Langlands-Kottwitz method can be used to determine the local
factors of the Hasse-Weil zeta-function of the modular curve at places of bad
reduction. On the way, we prove a conjecture of Haines and Kottwitz in this
special case.

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