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- Park, Chol
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Semi-stable deformation rings in even Hodge Tate weights: The residually reducible case
- Author(s)
- Lee, Wan, Park, Chol
- Issued Date
- 2022-06
- Citation
- INTERNATIONAL JOURNAL OF NUMBER THEORY, v.18, no.10, pp.2171 - 2209
- Abstract
- Let p be a prime number and r a positive even integer less than p-1. In this paper, we find the strongly divisible modules corresponding to the Galois stable lattices in each 2-dimensional semi-stable non-crystalline representation of Gal(Q¯p/Qp) with Hodge-Tate weights (0,r) whose mod-p reductions are corresponding to nontrivial extensions of two distinct characters. We use these results to construct the irreducible components of the semi-stable deformation rings in Hodge-Tate weights (0,r) of the non-split reducible residual representations of Gal(Q¯p/Qp). © 2022 World Scientific Publishing Company.
- Publisher
- World Scientific Publishing Co
- ISSN
- 1793-0421
- Keyword (Author)
- Breuil modules, semistable deformation rings, Semistable representations, strongly divisible modules
- Keyword
- REDUCTION MODULO P, GALOIS REPRESENTATIONS
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