Moduli spaces of p-divisible groups
代数几何
2007-05-23 v3
摘要
We study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components and of irreducible components. If the isocrystals of the p-divisible groups are simple, we compute the cohomology of the moduli space. As an application we determine which moduli spaces are smooth.
引用
@article{arxiv.math/0502320,
title = {Moduli spaces of p-divisible groups},
author = {Eva Viehmann},
journal= {arXiv preprint arXiv:math/0502320},
year = {2007}
}
备注
25 pages, minor corrections, author's last name changed from Mierendorff to Viehmann, to appear in Journal of Algebraic Geometry