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arXiv · 2503.09352

De Rham cohomology of Lubin-Tate spaces and Drinfeld spaces

Benchao Su
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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.

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Benchao Su. 2025-03-12. De Rham cohomology of Lubin-Tate spaces and Drinfeld spaces. https://arxiv.org/abs/2503.09352

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