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Fppf-descent for condensed animated rings

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abstract

In this paper, we define "animated affinoid algebras" and prove some basic properties of them. Then we generalize the result of the previous paper of the author and the result of Lucas Mann (fppf-descent for discrete rings or affinoid algebras) to discrete animated rings or animated affinoid algebras.

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math.AG 1

years

2025 1

verdicts

CONDITIONAL 1

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An axiomatic approach to analytic $1$-affineness

math.AG · 2025-09-04 · conditional · novelty 6.0

An axiomatic framework proves 1-affineness for analytic Betti stacks, analytic de Rham stacks, and rigid analytic varieties, giving categorical Künneth formulas.

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  • An axiomatic approach to analytic $1$-affineness math.AG · 2025-09-04 · conditional · none · ref 24 · internal anchor

    An axiomatic framework proves 1-affineness for analytic Betti stacks, analytic de Rham stacks, and rigid analytic varieties, giving categorical Künneth formulas.