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math.NT2023
Admissible pairs and -adic Hodge structures I: Transcendence of the de Rham lattice
Sean Howe, Christian Klevdal
For an algebraically closed non-archimedean extension , we define a Tannakian category of -adic Hodge structures over that is a local, -adic analog of the…
math.NT2023
Admissible pairs and -adic Hodge structures II: The bi-analytic Ax-Lindemann theorem
Sean Howe, Christian Klevdal
We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application…