Compatibility of Kisin modules for different uniformizers
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Tong Liu
Abstract
Let p be a prime and T a lattice inside a semi-stable representation V. We prove that Kisin modules associated to T by selecting different uniformizers are isomorphic after tensoring a subring in
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-0901360
Award Identifier / Grant number: DMS-1406926
Funding statement: The author is partially supported by NSF grants DMS-0901360 and DMS-1406926.
Acknowledgements
The author would like to thank Brian Conrad for raising this question and Bryden Cais for very useful comments.
References
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Compatibility of Kisin modules for different uniformizers
- Stably uniform affinoids are sheafy
- Non-minimal modularity lifting in weight one
- Hausdorff theory of dual approximation on planar curves
- Every conformal minimal surface in ℝ3 is isotopic to the real part of a holomorphic\break null curve
- Exotic crossed products and the Baum–Connes conjecture
- Directions in hyperbolic lattices
- Analysis of gauged Witten equation
- The completion problem for equivariant K-theory
Articles in the same Issue
- Frontmatter
- Compatibility of Kisin modules for different uniformizers
- Stably uniform affinoids are sheafy
- Non-minimal modularity lifting in weight one
- Hausdorff theory of dual approximation on planar curves
- Every conformal minimal surface in ℝ3 is isotopic to the real part of a holomorphic\break null curve
- Exotic crossed products and the Baum–Connes conjecture
- Directions in hyperbolic lattices
- Analysis of gauged Witten equation
- The completion problem for equivariant K-theory
