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arXiv · 2606.10057

Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry

Arun Soor
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Abstract

We prove a duality theorem for quasi-compactly supported cohomology of quasi-coherent sheaves on rigid-analytic spaces, with respect to a smooth and Kiehl partially-proper morphism. This includes an identification of the dualizing object with volume forms. The functional analysis underlying our theory does not use condensed mathematics, but rather Ind-Banach spaces, following Ben-Bassat--Kelly--Kremnizer.

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Arun Soor. 2026-08-13. Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry. https://arxiv.org/abs/2606.10057

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