1. Shtukas adiques, modifications et applications
- Author
-
Kieu Hieu Nguyen
- Subjects
Pure mathematics ,Mathematics - Number Theory ,General Mathematics ,Computation ,Mathematics::Number Theory ,Vector bundle ,Type (model theory) ,Mathematics::Algebraic Topology ,Cohomology ,Mathematics::Algebraic Geometry ,Simple (abstract algebra) ,Mathematics::K-Theory and Homology ,FOS: Mathematics ,Number Theory (math.NT) ,Signature (topology) ,Mathematics - 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., in French
- Published
- 2019