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On the cohomology of the Lubin-Tate curve of level 2 and the Lusztig theory over finite rings

An etale cohomology group $W$ of some irreducible components, which is the smooth compactification of an affine curve $(X^{q^2}-X)^{q-1}=(Y^{q(q+1)}-Y^{q+1})^{q-1},$ in the stable reduction the Lubin-Tate curve of level two is related to the Lusztig theory over finite rings. In this paper, we investigate a relationship between the cohomology group $W$ and the Lusztig theory.

preprint2011arXivOpen access
Tetsushi ItoYoichi MiedaTakahiro Tsushima
math.NT
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Tetsushi ItoYoichi MiedaTakahiro Tsushima

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