2019/01/24 by Laurent Fargues, Fargues, Laurent
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT
paper · pdf · doi:10.48550/arxiv.1901.08272
in French
arxiv created 2019/01/24 · arxiv updated 2019/01/25
Let K be a p-adic field. We continue to develop the theory of rigid analytic p-divisible groups over K. For example, we explain how to find back the category of Banach-Colmez spaces from rigid analytic p-divisible groups "in finite level" without perfectoid spaces. We then establish some results about families of rigid analytic p-divisible groups. This allows us to prove a "minimality" result in the sense of birationnal geometry for integral models of unramified Rapoport-Zink spaces.