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A Perspective on the Foundations of Derived Analytic Geometry

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arxiv 2405.07936 v1 pith:HAOTSEDU submitted 2024-05-13 math.AG math.ATmath.CVmath.NT

Oren Ben-Bassat , Jack Kelly , Kobi Kremnizer This is my paper · ORCID
classification math.AGmath.ATmath.CVmath.NT
keywords geometryanalyticcategoryderivedalgebraicbiproductexactfoundations
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We show how one can do algebraic geometry with respect to the category of simplicial objects in an exact category. As a biproduct, we get a theory of derived analytic geometry.

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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. A fully faithful p-adic Riemann-Hilbert functor for coadmissible D-cap-modules

    math.AG 2025-06 unverdicted novelty 8.0 of 10

    A p-adic Riemann-Hilbert correspondence is established: after base change to the overconvergent almost de Rham period sheaf, the solution functor becomes fully faithful on coadmissible D-modules.

  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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