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arXiv · 1109.4381

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

Takahiro Tsushima
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Abstract

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

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Takahiro Tsushima. 2011-09-20. Elementary computation of the stable reduction of the Drinfeld modular curve $X(π^2)$. https://arxiv.org/abs/1109.4381

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