English

Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport

Number Theory 2009-11-11 v4 Algebraic Geometry

Abstract

We state an improved version of the conjecture of Langlands and Rapoport, and we prove the conjecture for a large class of Shimura varieties. In particular, we obtain the first proof of the (original) conjecture for Shimura varieties of PEL-type.

Keywords

Cite

@article{arxiv.0707.3173,
  title  = {Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport},
  author = {J. S. Milne},
  journal= {arXiv preprint arXiv:0707.3173},
  year   = {2009}
}