Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.
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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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Perfectoid overconvergent Siegel modular forms and the overconvergent Eichler--Shimura morphism
Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.
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$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
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.