Shtukas adiques, modifications et applications

Abstract

In this paper, via the study of the modifications of vector bundles on the Fargues-Fontaine curve, we prove a geometric formula relating the Lubin-Tate towers with the simple basic unramified Rapoport-Zink spaces of EL type of signature $(1,n-1),(p_1,q_1),\cdots ,(p_k,q_k)$ where $p_i{q}_i=0$. In particular, we deduce the computation of the cohomology groups of the latter.

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