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- W4291625301 abstract "We consider the Kisin variety associated to a $n$-dimensional absolutely irreducible mod $p$ Galois representation $barrho$ of a $p$-adic field $K$ and a cocharacter $mu$. Kisin conjectured that the Kisin variety is connected in this case. We show that Kisin's conjecture holds if $K$ is totally ramfied with $n=3$ or $mu$ is of a very particular form. As an application, we also get a connectedness result for the deformation ring associated to $barrho$ of given Hodge-Tate weights. We also give counterexamples to show Kisin's conjecture does not hold in general." @default.
- W4291625301 created "2022-08-15" @default.
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- W4291625301 date "2020-07-14" @default.
- W4291625301 modified "2023-09-28" @default.
- W4291625301 title "Connectedness of Kisin varieties associated to absolutely irreducible Galois representations" @default.
- W4291625301 doi "https://doi.org/10.48550/arxiv.2007.06861" @default.
- W4291625301 hasPublicationYear "2020" @default.
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