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An Explicit Shimura Tower of Function Fields over a Number Field: An Application of Takeuchi's List

Number Theory 2017-01-27 v1 Algebraic Geometry

Abstract

Elkies proposed a procedure for constructing explicit towers of curves, and gave two towers of Shimura curves as relevant examples. In this paper, we present a new explicit tower of Shimura curves constructed by using this procedure.

Keywords

Cite

@article{arxiv.1701.07551,
  title  = {An Explicit Shimura Tower of Function Fields over a Number Field: An Application of Takeuchi's List},
  author = {Takehiro Hasegawa},
  journal= {arXiv preprint arXiv:1701.07551},
  year   = {2017}
}

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8 pages