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math.AG2026
Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry
Arun Soor
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…
math.AG2025
D-cap modules are quasi-coherent sheaves on an analytic stack
Arun Soor
We construct a fully-faithful functor of -categories from complexes of D-cap modules with Fréchet cohomology to quasi-coherent sheaves on an analytic stack. We prove vario…
math.AG2025
Quasicoherent sheaves for dagger analytic geometry
Arun Soor
We develop a theory of quasicoherent sheaves on dagger analytic varieties based on Ind-Banach spaces. We show that they satisfy descent in the analytic topology. We define compactl…