A Perspective on the Foundations of Derived Analytic Geometry

2024/05/13 by Oren Ben-Bassat, Ben-Bassat, Oren, Jack Kelly +3 · 7 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2405.07936

openalex publication_date 2024/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how one can do algebraic geometry with respect to the category of simplicial objects in an exact category. As a biproduct, we get a theory of derived analytic geometry.

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