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math.NT2021
Stable free lattices in residually reducible Galois deformations and control theorem of Selmer groups
Dong Yan
In this paper, we study the graph of homothety classes of stable free lattices in a two-dimensional representation over a local UFD. This generalizes a classical result of the case…
math.NT2019
Stable -free lattices and the two-variable algebraic -adic -functions in residually reducible Hida deformation
Dong Yan
This paper is a continuation of the author's previous work, where we studied the variation of the number of isomorphic classes of -stable lattices in p-adic familie…
math.NT2018
Stable lattices in modular Galois representations and Hida deformation
Dong Yan
In this paper, we discuss the variation of the numbers of the isomorphic classes of stable lattices when the weight and the level varies in a Hida deformation by using the Kubota-L…