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$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces

math.NT · 2026-05-06 · unverdicted · novelty 5.0

Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.

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  • $\mathbb{G}_m$-cohomology of $p$-adic Stein spaces math.NT · 2026-05-06 · unverdicted · none · ref 58

    Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.