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

Abstract

An etale cohomology group W of some irreducible components, which is the smooth compactification of an affine curve (Xq2-X)q-1=(Yq(q+1)-Yq+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.

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