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Derived category of Finite Spaces and Grothendieck Duality

2019/04/15 by Fernando Sancho de Salas, de Salas, Fernando Sancho, Juan Francisco Torres Sancho +1
Mathematics · #06A11 #14F05 #18E30 #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Computer science #Duality (order theory) #Epistemology #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Rings, Modules, and Algebras #Simple (philosophy) #Space (punctuation) #math.AG #msc:06A11 #msc:14F05 #msc:18E30

paper · pdf · doi:10.48550/arxiv.1904.06935

arxiv created 2019/04/15 · openalex publication_date 2019/04/15 · arxiv updated 2019/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain some fundamental results, as Bokstedt-Neeman Theorem and Grothendieck duality, about the derived category of modules on a finite ringed space. Then we see how these results are transfered to schemes in a simple way and generalized to other ringed spaces.

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