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

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

2011-09-20

arxiv.org/abs/1109.4381v1

Mathematics

Number Theory

24 pages

Scientific paper

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.

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