Analytification, localization and homotopy epimorphisms

DOI10.1016/j.bulsci.2022.103129zbMath1494.14023arXiv2111.04184OpenAlexW3214146691MaRDI QIDQ2123439

Devarshi Mukherjee, Oren Ben-Bassat

Publication date: 8 April 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04184

zbMATH Keywords

Hochschild homologyrigid analytic geometryderived algebraic geometrycomplex analytic geometry

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Complex spaces (32C15) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Monoidal categories, symmetric monoidal categories (18M05)

Cites Work

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• Stein domains in Banach algebraic geometry
• A general framwork for a multi-operator functional calculus
• Dagger geometry as Banach algebraic geometry
• Local and analytic cyclic homology
• Traces of differential forms and Hochschild homology
• Hochschild homology of complete intersections and smoothness
• Nonarchimedean bornologies, cyclic homology and rigid cohomology
• Open embeddings and pseudoflat epimorphisms
• Analytic geometry over \(\mathbb{F}_1\) and the Fargues-Fontaine curve
• Non-Archimedean analytic geometry as relative algebraic geometry
• Closed Graph Theorems for Bornological Spaces
• Dagger completions and bornological torsion-freeness
• Homotopical algebraic geometry. II. Geometric stacks and applications

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