2002/09/20 by Frans J. Oort, Frans oort, oort, Frans +2
Computer Science · Engineering · Mathematics · #14F30 #14L05 #Algebraic Geometry (math.AG) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #graph theory and CDMA systems #math.AG #msc:14F30 #msc:14L05
paper · pdf · doi:10.48550/arxiv.math/0209264
To be published in Documenta Mathematica
arxiv created 2002/09/20 · openalex publication_date 2002/09/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A p-divisible group over a base scheme in characteristic p in general does not admit a slope filtration. Let X be a p-divisible group with constant Newton polygon over a normal noetherian scheme S; we prove that there exists an isogeny from X to Y such that Y admits a slope filtration. In case S is regular this was proved by N. Katz for dim(S) = 1 and by T. Zink for dim(S) > 0. We give an example of a p-divisible group over a non-normal base which does not admit an isogeny to a p-divisible group with a slope filtration.