Elementary computation of the stable reduction of the Drinfeld modular curve $X(\pi^2)$

Takahiro Tsushima

Elementary computation of the stable reduction of the Drinfeld modular curve $X(\pi^2)$

Number Theory 2011-09-21 v1 Algebraic Geometry

Authors: Takahiro Tsushima

Abstract

We compute the stable reduction of the Lubin-Tate space $X(\pi^2)$ in the equal characteristic case, on the basis of Coleman-McMurdy's ideas. Namely, in this paper, we actually construct a stable covering of $X(\pi^2).$ This paper also includes intersection multiplicity datum of the stable model of $X(\pi^2)$ . Our method is very explicit and elementary.

Keywords

stable reduction drinfeld modular curve lubin-tate space equal characteristic stable covering intersection multiplicity elementary computation

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@article{arxiv.1109.4381,
  title  = {Elementary computation of the stable reduction of the Drinfeld modular curve $X(\pi^2)$},
  author = {Takahiro Tsushima},
  journal= {arXiv preprint arXiv:1109.4381},
  year   = {2011}
}

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24 pages

Elementary computation of the stable reduction of the Drinfeld modular curve $X(\pi^2)$

Abstract

Keywords

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