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Descent for solid quasi-coherent sheaves on perfectoid spaces

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arxiv 2403.01951 v2 pith:LBRJ2FIV submitted 2024-03-04 math.AG math.NT

Johannes Anschütz , Lucas Mann This is my paper · ORCID
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keywords quasi-coherentsheavessoliddescentperfectoidspacescurvesdevelopment
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abstract

We prove $v$-descent for solid quasi-coherent sheaves on perfectoid spaces as a key technical input for the development of a $6$-functor formalism with values in solid quasi-coherent sheaves on relative Fargues--Fontaine curves.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reconstruction of Formal Schemes from Categories of Nuclear Modules

    math.AG 2026-07 accept novelty 6.5 of 10

    Formal schemes X are reconstructed from Nuc^Ef(X) or Nuc^CS(X) by recovering D_tors(X) as the maximal strongly compactly generated localizing tensor ideal and taking its Balmer spectrum.

  2. An axiomatic approach to analytic $1$-affineness

    math.AG 2025-09 conditional novelty 6.0 of 10

    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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