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3 Pith papers citing it

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2025 2 2022 1

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$G$-torsors on perfectoid spaces

math.AG · 2022-07-15 · unverdicted · novelty 6.0

On perfectoid spaces over p-adic fields, étale and v-topological G-torsors coincide for arbitrary rigid analytic groups G, generalizing prior results for Ga and GL_n, with applications to generalized Q_p-representations equaling v-vector bundles.

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Showing 3 of 3 citing papers.

  • A $p$-adic Simpson correspondence for singular rigid-analytic varieties math.AG · 2025-12-24 · unverdicted · none · ref 48

    The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.

  • Abhyankar valuations, Pr\"ufer-Manis valuations, and perfectoid Tate algebras math.NT · 2025-10-26 · unverdicted · none · ref 36

    Quotient fields of the perfectoid Tate algebra T_n,K^perfd are semi-immediate extensions of K_r1..rl^perfd with l bounded by min(n-ht(m^flat cap coperf),n-1) and at least one ri irrational if the flat intersection is nonzero.

  • $G$-torsors on perfectoid spaces math.AG · 2022-07-15 · unverdicted · none · ref 36

    On perfectoid spaces over p-adic fields, étale and v-topological G-torsors coincide for arbitrary rigid analytic groups G, generalizing prior results for Ga and GL_n, with applications to generalized Q_p-representations equaling v-vector bundles.