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TITLE SEMISTABLE DEFORMATION RINGS IN EVEN HODGE-TATE WEIGHTS
KIAS AUTHORS Park, Chol
JOURNAL PACIFIC JOURNAL OF MATHEMATICS, 2019
ARCHIVE  
ABSTRACT Let p be a prime number and r a positive even integer less than p - 1. In this paper, we find a Galois stable lattice in each two-dimensional semistable noncrystalline representation of GQ(p) with Hodge-Tate weights (0, r) by constructing the corresponding strongly divisible module. We also compute the Breuil modules corresponding to the mod p reductions of these strongly divisible modules, and determine the semisimplification of the mod p reduction of the original representations. We use these results to construct the irreducible components of the semistable deformation rings in Hodge-Tate weights (0, r) of the absolutely irreducible residual representations of GQ(p).
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