Mathematical Research Letters

Volume 19 (2012)

Number 1

Lefschetz trace formula and $\boldsymbol{\ell}$-adic cohomology of Lubin–Tate tower

Pages: 95 – 107



Yoichi Mieda (Faculty of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819–0395, Japan)


In this paper, we investigate the alternating sum of the $\ell$-adic cohomology of the Lubin–Tate tower by the Lefschetz trace formula. Our method gives slightly stronger results than in the preceding work of Strauch.

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