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arXiv · 1904.12381

Shtukas adiques, modifications et applications

Kieu Hieu Nguyen
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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_iq_i = 0 $. In particular, we deduce the computation of the cohomology groups of the latter.

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Kieu Hieu Nguyen. 2019-04-28. Shtukas adiques, modifications et applications. https://arxiv.org/abs/1904.12381

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