Elementary computation of the stable reduction of the Drinfeld modular curve X(π2)X(π^2)

preprint2011arXivOpen access

Abstract

We compute the stable reduction of the Lubin-Tate space X(π2)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(π2).X(π^2). This paper also includes intersection multiplicity datum of the stable model of X(π2)X(π^2). Our method is very explicit and elementary.

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