English

Shtukas adiques, modifications et applications

Number Theory 2021-02-14 v2

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,n1),(p1,q1),,(pk,qk) (1, n-1), (p_1, q_1), \cdots, (p_k, q_k) where piqi=0 p_iq_i = 0 . In particular, we deduce the computation of the cohomology groups of the latter.

Keywords

Cite

@article{arxiv.1904.12381,
  title  = {Shtukas adiques, modifications et applications},
  author = {Kieu Hieu Nguyen},
  journal= {arXiv preprint arXiv:1904.12381},
  year   = {2021}
}

Comments

in French

R2 v1 2026-06-23T08:51:41.537Z