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A lemma on nearby cycles and its application to the tame Lubin-Tate space

A lemma on nearby cycles and its application to the tame Lubin-Tate space

This note is concerned with a cohomological consequence of a geometric construction due to Yoshida, which relates the tame level of the Lubin-Tate tower to some Deligne-Lusztig variety of Coxeter type.More precisely, we show that the equivariant morphism in cohomology which follows from Yoshida's construction is an isomorphism, whatever the …