Rapoport-Zink spaces for spinor groups
Algebraic Geometry
2019-02-20 v2 Number Theory
Abstract
We develop a theory of Hodge type Rapoport-Zink formal schemes, which uniformize certain formal completions of the canonical integral models of Shimura varieties of Hodge type at primes of good reduction. We then apply the general theory to the special case of Shimura varieties associated with groups of spinor similitudes, and, in the basic case, determine explicitly the reduced scheme underlying the Rapoport-Zink formal scheme.
Cite
@article{arxiv.1509.03914,
title = {Rapoport-Zink spaces for spinor groups},
author = {B. Howard and G. Pappas},
journal= {arXiv preprint arXiv:1509.03914},
year = {2019}
}
Comments
66pp, final version, to appear in Compositio Math