Proves finiteness of continuous semisimple geometric representations to GL_n(F) for curves with arbitrary D, varieties with D=0, and liftable representations.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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On the Finiteness of Geometric Representations for Varieties over Finite Fields
Proves finiteness of continuous semisimple geometric representations to GL_n(F) for curves with arbitrary D, varieties with D=0, and liftable representations.
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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.