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De Rham cohomology of Lubin-Tate spaces and Drinfeld spaces (2503.09352v1)

Published 12 Mar 2025 in math.NT

Abstract: Let $d\ge 1$ be an integer. We use the methods introduced by Lue Pan to prove that the compactly supported cohomology of Lubin-Tate towers and Drinfeld towers are isomorphic, as $\text{GL}{d+1}(L)\times D{L,\frac{1}{d+1}}^{\times$-modules.}