English

Rapoport-Zink spaces of Hodge type

Number Theory 2018-01-30 v6 Algebraic Geometry

Abstract

When p>2p>2, we construct a Hodge-type analogue of Rapoport-Zink spaces under the unramifiedness assumption, as formal schemes parametrising "deformations" (up to quasi-isogeny) of pp-divisible groups with certain crystalline Tate tensors. We also define natural rigid analytic towers with expected extra structure, providing more examples of "local Shimura varieties" conjectured by Rapoport and Viehmann.

Keywords

Cite

@article{arxiv.1308.5537,
  title  = {Rapoport-Zink spaces of Hodge type},
  author = {Wansu Kim},
  journal= {arXiv preprint arXiv:1308.5537},
  year   = {2018}
}

Comments

79 pages, Section 5 was rewritten