On the Hodge-Newton filtration for p-divisible groups of Hodge type
- Creators
- Hong, Serin
Abstract
A p-divisible group, or more generally an F-crystal, is said to be Hodge–Newton reducible if its Newton polygon and Hodge polygon have a nontrivial contact point. Katz proved that Hodge–Newton reducible F-crystals admit a canonical filtration called the Hodge–Newton filtration. The notion of Hodge–Newton reducibility plays an important role in the deformation theory of p-divisible groups; the key property is that the Hodge–Newton filtration of a p-divisible group over a field of characteristic p can be uniquely lifted to a filtration of its deformation. We generalize Katz's result to F-crystals that arise from an unramified local Shimura datum of Hodge type. As an application, we give a generalization of Serre–Tate deformation theory for local Shimura data of Hodge type.
Additional Information
© 2018 Springer-Verlag GmbH Germany, part of Springer Nature. First Online: 20 June 2018. I would like to sincerely thank my advisor E. Mantovan for her continuous encouragement and advice. I also thank T. Wedhorn for his helpful comments on a preliminary version of this paper.Attached Files
Submitted - 1606.06398.pdf
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Additional details
- Eprint ID
- 95227
- Resolver ID
- CaltechAUTHORS:20190506-081004743
- Created
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2019-05-06Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field