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Crosslisted article(s) found for math.CT. https://arxiv.org/list/math.CT/new
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- An axiomatic approach to analytic $1$-affineness
Matteo Montagnani, Emanuele Pavia

An axiomatic approach to analytic $1$-affineness
Matteo Montagnani, Emanuele Pavia
https://arxiv.org/abs/2509.04341 https://arxiv.org/pdf/2509.04341…

An axiomatic approach to analytic $1$-affineness
The notion of $1$-affineness was originally formulated by Gaitsgory in the context of derived algebraic geometry. Motivated by applications to rigid and analytic geometry, we introduce two very general and abstract frameworks where it makes to ask for objects to be $1$-affine with respect to some sheaf of categories. The first framework is suited for studying the problem of $1$-affineness when the sheaf of categories arises from an operation in a six-functor formalism over $\mathscr{C}$; we app…

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