English

An alternative construction of zip period maps for Shimura varieties

Algebraic Geometry 2021-09-03 v1 Number Theory

Abstract

Let SS be the special fibre of a Shimura variety of Hodge type, with good reduction at a place above pp. We give an alternative construction of the zip period map for SS, which is used to define the Ekedahl-Oort strata of SS. The method employed is local, pp-adic, and group-theoretic in nature.

Keywords

Cite

@article{arxiv.2109.01008,
  title  = {An alternative construction of zip period maps for Shimura varieties},
  author = {Qijun Yan},
  journal= {arXiv preprint arXiv:2109.01008},
  year   = {2021}
}

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28 pages