Proves Grothendieck duality for quasi-coherent sheaves on rigid-analytic spaces with dualizing object identified as volume forms, via Ind-Banach spaces.
An analytic Hochschild-Kostant- Rosenberg theorem
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Higher algebra notions are generalized to t-structured tensor triangulated ∞-categories, with analogues of Lazard's theorem, Cohn localizations, almost ring theory, étale rigidity, and a moduli characterization under projective rigidity.
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Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry
Proves Grothendieck duality for quasi-coherent sheaves on rigid-analytic spaces with dualizing object identified as volume forms, via Ind-Banach spaces.
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Higher algebra in $t$-structured tensor triangulated $\infty$-categories
Higher algebra notions are generalized to t-structured tensor triangulated ∞-categories, with analogues of Lazard's theorem, Cohn localizations, almost ring theory, étale rigidity, and a moduli characterization under projective rigidity.